EduSahara™ Assignment
Name : Matrix Addition and Subtraction
Chapter : Matrices
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • If A =
    • [
      -7
      2
      -9
      4
      ]
    • and B =
    • [
      3
      -9
      9
      7
      ]
    • , then A
    • +
    • B =
  • (i)
    [
    -4
    -4
    0
    11
    ]
  • (ii)
    [
    -4
    -6
    0
    11
    ]
  • (iii)
    [
    -4
    -9
    0
    11
    ]
  • (iv)
    [
    -5
    -7
    0
    11
    ]
  • (v)
    [
    -4
    -7
    0
    11
    ]
Question 2
2.
    • If A =
    • [
      -7
      -8
      0
      -5
      ]
    • and B =
    • [
      6
      -6
      -9
      9
      ]
    • , then A
    • B =
  • (i)
    [
    -16
    -2
    9
    -14
    ]
  • (ii)
    [
    -13
    -2
    11
    -14
    ]
  • (iii)
    [
    -13
    -1
    9
    -14
    ]
  • (iv)
    [
    -13
    -2
    8
    -14
    ]
  • (v)
    [
    -13
    -2
    9
    -14
    ]
Question 3
3.
    • If A =
    • [
      3
      0
      4
      3
      2
      -2
      4
      -2
      1
      ]
    • and B =
    • [
      0
      -4
      -3
      2
      -4
      -1
      3
      3
      -4
      ]
    • , then A
    • +
    • B =
  • (i)
    [
    3
    -4
    1
    5
    -2
    -3
    7
    0
    -3
    ]
  • (ii)
    [
    3
    -4
    1
    5
    -2
    -2
    7
    1
    -3
    ]
  • (iii)
    [
    3
    -4
    1
    5
    -2
    -3
    7
    1
    -5
    ]
  • (iv)
    [
    3
    -4
    1
    5
    -2
    -3
    7
    1
    -3
    ]
  • (v)
    [
    3
    -4
    1
    7
    -2
    -3
    7
    1
    -3
    ]
Question 4
4.
    • If A =
    • [
      0
      0
      0
      ]
    • and B =
    • [
      0
      -2
      -2
      ]
    • , then A
    • B =
  • (i)
    [
    0
    2
    3
    ]
  • (ii)
    [
    0
    2
    2
    ]
  • (iii)
    [
    0
    2
    5
    ]
  • (iv)
    [
    0
    1
    2
    ]
  • (v)
    [
    0
    2
    0
    ]
Question 5
5.
    • If A =
    • [
      0
      2
      -1
      -2
      2
      1
      ]
    • and B =
    • [
      -1
      0
      1
      -2
      -1
      1
      ]
    • , then A
    • +
    • B =
  • (i)
    [
    -1
    2
    0
    -4
    1
    2
    ]
  • (ii)
    [
    -1
    2
    0
    -4
    3
    2
    ]
  • (iii)
    [
    -1
    2
    0
    -4
    2
    2
    ]
  • (iv)
    [
    -1
    2
    0
    -4
    1
    1
    ]
  • (v)
    [
    -1
    2
    0
    -4
    -1
    2
    ]
Question 6
6.
    • If A =
    • [
      0
      ]
    • and B =
    • [
      -1
      ]
    • , then A
    • +
    • B =
  • (i)
    [
    -2
    ]
  • (ii)
    [
    0
    ]
  • (iii)
    [
    1
    ]
  • (iv)
    [
    -3
    ]
  • (v)
    [
    -1
    ]
Question 7
7.
    • If A =
    • [
      4
      -3
      0
      4
      1
      3
      2
      0
      -3
      ]
    • , then
    • 7
    • A =
  • (i)
    [
    25
    -21
    0
    28
    7
    21
    14
    0
    -21
    ]
  • (ii)
    [
    29
    -21
    0
    28
    7
    21
    14
    0
    -21
    ]
  • (iii)
    [
    28
    -22
    0
    28
    7
    21
    14
    0
    -21
    ]
  • (iv)
    [
    28
    -18
    0
    28
    7
    21
    14
    0
    -21
    ]
  • (v)
    [
    28
    -21
    0
    28
    7
    21
    14
    0
    -21
    ]
Question 8
8.
    • If A =
    • [
      -3
      0
      2
      4
      ]
    • and B =
    • [
      3
      -1
      3
      -2
      ]
    • , then
    • 10
    • A
    • +
    • 5
    • B =
  • (i)
    [
    -13
    -5
    35
    30
    ]
  • (ii)
    [
    -15
    -5
    35
    31
    ]
  • (iii)
    [
    -15
    -5
    35
    29
    ]
  • (iv)
    [
    -15
    -5
    35
    30
    ]
  • (v)
    [
    -15
    -5
    35
    28
    ]
Question 9
9.
    • If A =
    • [
      2
      6
      1
      -3
      ]
    • and B =
    • [
      -6
      2
      -2
      4
      ]
    • , then
    • 4
    • A
    • 8
    • B =
  • (i)
    [
    56
    7
    20
    -44
    ]
  • (ii)
    [
    56
    8
    20
    -44
    ]
  • (iii)
    [
    56
    8
    21
    -44
    ]
  • (iv)
    [
    56
    8
    17
    -44
    ]
  • (v)
    [
    56
    8
    20
    -42
    ]
Question 10
10.
    • If A =
    • [
      1
      -5
      0
      6
      5
      -4
      -6
      1
      1
      ]
    • and O =
    • [
      0
      0
      0
      0
      0
      0
      0
      0
      0
      ]
    • , then A
    • +
    • O =
  • (i)
    [
    1
    -5
    0
    6
    5
    -4
    -6
    4
    1
    ]
  • (ii)
    [
    1
    -5
    0
    5
    5
    -4
    -6
    1
    1
    ]
  • (iii)
    [
    1
    -5
    0
    6
    5
    -4
    -6
    1
    1
    ]
  • (iv)
    [
    1
    -5
    0
    6
    5
    -4
    -6
    1
    -1
    ]
  • (v)
    [
    2
    -5
    0
    6
    5
    -4
    -6
    1
    1
    ]
Question 11
11.
    • If A =
    • [
      6
      6
      -8
      -6
      ]
    • , B =
    • [
      6
      3
      9
      -3
      ]
    • and C =
    • [
      -4
      4
      -3
      1
      ]
    • ,
    • then
    • 10
    • A
    • 6
    • B
    • +
    • 7
    • C
    • =
  • (i)
    [
    -3
    70
    -155
    -35
    ]
  • (ii)
    [
    -4
    68
    -155
    -35
    ]
  • (iii)
    [
    -5
    70
    -155
    -35
    ]
  • (iv)
    [
    -1
    70
    -155
    -35
    ]
  • (v)
    [
    -4
    70
    -155
    -35
    ]
Question 12
12.
    • Find A , given that A
    • +
    • 7
    • [
      -3
      -7
      -1
      4
      ]
    • =
    • [
      -22
      -45
      -5
      27
      ]
  • (i)
    [
    -1
    6
    2
    -1
    ]
  • (ii)
    [
    -1
    3
    2
    -1
    ]
  • (iii)
    [
    0
    4
    2
    -1
    ]
  • (iv)
    [
    -1
    2
    2
    -1
    ]
  • (v)
    [
    -1
    4
    2
    -1
    ]
Question 13
13.
    • If A =
    • [
      -8
      3
      9
      1
      ]
    • , then find B satisfying A
    • + B = O
  • (i)
    [
    6
    -3
    -9
    -1
    ]
  • (ii)
    [
    8
    -3
    -9
    -1
    ]
  • (iii)
    [
    8
    0
    -9
    -1
    ]
  • (iv)
    [
    8
    -3
    -9
    0
    ]
  • (v)
    [
    8
    -3
    -9
    -2
    ]
Question 14
14.
    • If A =
    • [
      -1
      3
      -2
      -1
      ]
    • , then find B satisfying A
    • +
    • B = I
  • (i)
    [
    2
    -3
    0
    2
    ]
  • (ii)
    [
    2
    -3
    2
    3
    ]
  • (iii)
    [
    5
    -3
    2
    2
    ]
  • (iv)
    [
    2
    -3
    2
    1
    ]
  • (v)
    [
    2
    -3
    2
    2
    ]
Question 15
15.
    • If A =
    • [
      5
      -3
      -3
      -4
      ]
    • , then find B satisfying A
    • + B = A
  • (i)
    [
    0
    0
    0
    1
    ]
  • (ii)
    [
    0
    0
    -2
    0
    ]
  • (iii)
    [
    -1
    0
    0
    0
    ]
  • (iv)
    [
    0
    0
    0
    0
    ]
  • (v)
    [
    3
    0
    0
    0
    ]
Question 16
16.
    • If
    • (
      A
      +
      B
      )
    • = 0, then
a)
A is the additive inverse of B
b)
B is the additive identity of A
c)
B is the additive inverse of A
d)
A is the additive identity of B
  • (i)
    {b,a}
  • (ii)
    {b,d,a}
  • (iii)
    {b,c,a}
  • (iv)
    {d,c}
  • (v)
    {a,c}
Question 17
17.
    • If A =
    • [
      -7
      -6
      8
      -8
      ]
    • and B =
    • [
      -8
      4
      -4
      0
      ]
    • and D =
    • [
      -80
      -94
      144
      -38
      ]
    • ,
    • 10
    • A
    • 4
    • B
    • +
    • 6
    • C
    • = D, then C = ?
  • (i)
    [
    -7
    -3
    8
    5
    ]
  • (ii)
    [
    -7
    -4
    8
    7
    ]
  • (iii)
    [
    -7
    -3
    9
    7
    ]
  • (iv)
    [
    -7
    -3
    8
    7
    ]
  • (v)
    [
    -7
    -3
    10
    7
    ]
Question 18
18.
    • If A =
    • [
      7
      -3
      -2
      1
      ]
    • and the sum of the values of
    • elements of matrix kA =
    • 9
    • , find k
  • (i)
    6
  • (ii)
    4
  • (iii)
    1
  • (iv)
    2
  • (v)
    3
Question 19
19.
    • If A =
    • [
      6
      -5
      -2
      0
      ]
    • , the value of -A =
  • (i)
    [
    -6
    5
    -1
    0
    ]
  • (ii)
    [
    -6
    5
    5
    0
    ]
  • (iii)
    [
    -6
    5
    2
    0
    ]
  • (iv)
    [
    -5
    5
    2
    0
    ]
  • (v)
    [
    -6
    5
    2
    -1
    ]
Question 20
20.
    • If A =
    • [
      -1
      0
      5
      9
      ]
    • , B =
    • [
      5
      0
      -1
      1
      ]
    • and C =
    • [
      -4
      9
      6
      8
      ]
    • ,
    • then A
    • +
    • 6
    • B
    • +
    • 6
    • C =
  • (i)
    [
    5
    56
    35
    63
    ]
  • (ii)
    [
    5
    54
    35
    63
    ]
  • (iii)
    [
    5
    55
    35
    63
    ]
  • (iv)
    [
    3
    54
    35
    63
    ]
  • (v)
    [
    5
    53
    35
    63
    ]
Question 21
21.
    • Find the
    • additive
    • identity of matrix A =
    • [
      -2
      4
      -7
      9
      ]
  • (i)
    [
    0
    0
    0
    0
    ]
  • (ii)
    [
    0
    0
    0
    3
    ]
  • (iii)
    [
    0
    -3
    0
    0
    ]
  • (iv)
    [
    0
    -1
    0
    0
    ]
  • (v)
    [
    0
    0
    1
    0
    ]
Question 22
22.
    • Find the
    • additive
    • identity of matrix A =
    • [
      -2
      -3
      -4
      -3
      -2
      3
      0
      4
      2
      ]
  • (i)
    [
    0
    0
    0
    0
    0
    0
    -1
    0
    0
    ]
  • (ii)
    [
    0
    0
    0
    0
    0
    0
    -2
    0
    0
    ]
  • (iii)
    [
    0
    0
    0
    0
    0
    0
    0
    0
    1
    ]
  • (iv)
    [
    0
    0
    0
    0
    0
    0
    0
    0
    0
    ]
  • (v)
    [
    0
    0
    0
    0
    0
    2
    0
    0
    0
    ]
    Assignment Key

  •  1) (v)
  •  2) (v)
  •  3) (iv)
  •  4) (ii)
  •  5) (i)
  •  6) (v)
  •  7) (v)
  •  8) (iv)
  •  9) (ii)
  •  10) (iii)
  •  11) (v)
  •  12) (v)
  •  13) (ii)
  •  14) (v)
  •  15) (iv)
  •  16) (v)
  •  17) (iv)
  •  18) (v)
  •  19) (iii)
  •  20) (ii)
  •  21) (i)
  •  22) (iv)