ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Matrices
Question 1
1.
    • If A =
    • [
      4
      4
      -3
      -3
      -4
      -3
      -2
      3
      -3
      		]
    • and B =
    • [
      3
      0
      -1
      4
      -3
      -4
      -4
      1
      4
      		]
    • , then A
    • +
    • B =
  • [
    7
    4
    -4
    1
    -7
    -9
    -6
    4
    1
    		]
  • [
    7
    4
    -4
    1
    -7
    -7
    -6
    4
    2
    		]
  • [
    7
    4
    -4
    1
    -7
    -7
    -6
    4
    1
    		]
  • [
    6
    4
    -4
    1
    -7
    -7
    -6
    4
    1
    		]
  • [
    7
    4
    -1
    1
    -7
    -7
    -6
    4
    1
    		]
Question 2
2.
    • If B =
    • [
      2
      7
      1
      2
      		]
    • and C =
    • [
      17
      55
      		]
    • and
    • (
      A
      ✕
      B
      )
    • = C , find A
  • [
    7
    2
    		]
  • [
    10
    3
    		]
  • [
    5
    3
    		]
  • [
    8
    3
    		]
  • [
    7
    3
    		]
Question 3
3.
    • If A =
    • [
      4
      4
      5
      1
      		]
    • and B =
    • [
      6
      2
      4
      7
      		]
    • , find
    • (
      A
      +
      B
      )
      2
       
  • [
    154
    106
    162
    118
    		]
  • [
    154
    108
    162
    121
    		]
  • [
    154
    109
    162
    118
    		]
  • [
    154
    108
    162
    117
    		]
  • [
    154
    108
    162
    118
    		]
Question 4
4.
    • Find the
    • additive
    • identity of matrix A =
    • [
      3
      -1
      1
      -1
      0
      -2
      -1
      2
      1
      		]
  • [
    -2
    0
    0
    0
    0
    0
    0
    0
    0
    		]
  • [
    0
    0
    0
    0
    0
    0
    3
    0
    0
    		]
  • [
    0
    0
    0
    0
    0
    0
    0
    0
    0
    		]
  • [
    0
    0
    0
    0
    0
    0
    -1
    0
    0
    		]
  • [
    0
    1
    0
    0
    0
    0
    0
    0
    0
    		]
Question 5
5.
    • If
    • (
      A
      +
      B
      )
    • = 0, then
a)
A is the additive inverse of B
b)
A is the additive identity of B
c)
B is the additive identity of A
d)
B is the additive inverse of A
  • {b,c,a}
  • {c,d}
  • {b,d,a}
  • {a,d}
  • {b,a}
Question 6
6.
    • If A =
    • [
      -4
      -3
      3
      -3
      		]
    • , then find B satisfying A
    • + B = A
  • [
    0
    2
    0
    0
    		]
  • [
    0
    0
    0
    0
    		]
  • [
    0
    0
    -3
    0
    		]
  • [
    0
    0
    -1
    0
    		]
  • [
    0
    0
    0
    1
    		]
Question 7
7.
    • Which of the following matrices is a
    • 2 ✕ 1
    • matrix ?
  • [
    8
    4
    		]
  • [
    3
    3
    9
    		]
  • [
    5
    9
    		]
  • [
    1
    1
    7
    2
    7
    9
    		]
  • [
    2
    4
    4
    8
    		]
Question 8
8.
    • The order of matrix A =
    • [
      -1
      -3
      3
      2
      2
      -4
      -2
      3
      -5
      		]
    • is
  • 4 ✕ 3
  • 3 ✕ 3
  • 3 ✕ 4
  • 3 ✕ 2
  • 2 ✕ 3
Question 9
9.
    • If A =
    • [
      a

      11
      a

      12
      a

      21
      a

      22
      		]
    • and B =
    • [
      b

      11
      b

      12
      b

      21
      b

      22
      		]
    • ,
    • then
    • (
      A
      −
      B
      )
    • =
  • [
    a

    11
    		  −  
    b

    11
    a

    12
    		  −  
    b

    12
    a

    21
    		  −  
    b

    21
    a

    22
    		  −  
    b

    22
    		]
  • [
    a

    11
    b

    11
    		  +  
    a

    12
    b

    21
    a

    11
    b

    12
    		  +  
    a

    12
    b

    22
    a

    21
    b

    11
    		  +  
    a

    22
    b

    21
    a

    21
    b

    12
    		  +  
    a

    22
    b

    22
    		]
  • [
    a

    11
    		  −  
    b

    11
    a

    21
    		  −  
    b

    21
    a

    12
    		  −  
    b

    12
    a

    22
    		  −  
    b

    22
    		]
  • [
    a

    11
    		  −  
    b

    11
    a

    21
    		  −  
    b

    12
    a

    12
    		  −  
    b

    21
    a

    22
    		  −  
    b

    22
    		]
Question 10
10.
Which of the following is a null matrix ?
  • [
    0
    0
    0
    0
    		]
  • [
    0
    0
    2
    0
    		]
  • [
    1
    0
    0
    0
    		]
  • [
    -2
    0
    0
    0
    		]
  • [
    0
    0
    0
    -1
    		]