ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Matrices
Question 1
1.
    • If A =
    • [
      -9
      9
      -7
      -3
      		]
    • and the sum of the values of
    • elements of matrix kA =
    • -70
    • , find k
  • 8
  • 7
  • 5
  • 6
  • 10
Question 2
2.
    • If B =
    • [
      9
      6
      3
      2
      		]
    • and C =
    • [
      33
      22
      84
      56
      		]
    • and
    • (
      A
      ✕
      B
      )
    • = C , find A
  • [
    1
    8
    9
    2
    		]
  • [
    1
    7
    9
    1
    		]
  • [
    1
    8
    9
    1
    		]
  • [
    1
    8
    12
    1
    		]
  • [
    1
    8
    9
    -2
    		]
Question 3
3.
    • If A and B are given as below, neither
    • (
      A
      ✕
      B
      )
    • nor
    • (
      B
      ✕
      A
      )
    • is possible for which of the following pairs?
      • 3 ✕ 1 , 1 ✕ 3
      • 2 ✕ 3 , 3 ✕ 1
      • 3 ✕ 1 , 3 ✕ 2
      • 1 ✕ 2 , 2 ✕ 3
      • 1 ✕ 2 , 2 ✕ 1
Question 4
4.
    • If A =
    • [
      3
      2
      1
      -5
      6
      4
      3
      5
      1
      		]
    • and O =
    • [
      0
      0
      0
      0
      0
      0
      0
      0
      0
      		]
    • , then A
    • +
    • O =
  • [
    3
    2
    1
    -5
    6
    4
    3
    5
    1
    		]
  • [
    3
    2
    1
    -5
    6
    4
    3
    6
    1
    		]
  • [
    3
    2
    1
    -5
    6
    4
    3
    5
    3
    		]
  • [
    3
    2
    1
    -5
    6
    3
    3
    5
    1
    		]
  • [
    0
    2
    1
    -5
    6
    4
    3
    5
    1
    		]
Question 5
5.
    • Given A =
    • [
      8
      9
      -4
      0
      		]
    • and B =
    • [
      a
        −  
      1
      4
      b
      2
      9
      		]
    • ,
    • if BA = I find a and b
      • a =
      • (
        -1
        6
        		 )
      • , b =
      • 2
        7
      • a =
      • 0
      • , b =
      • (
        -1
        6
        		 )
      • a =
      • 0
      • , b =
      • 1
        9
      • a =
      • 2
        7
      • , b =
      • 1
        9
Question 6
6.
    • If A =
    • [
      1
      9
      4
      8
      		]
    • and B =
    • [
      3
      7
      7
      7
      		]
    • , find
    • A
      2
       
    • +
    • B
      2
       
    • +
    • 2AB
  • [
    227
    291
    242
    364
    		]
  • [
    227
    291
    242
    369
    		]
  • [
    227
    291
    242
    367
    		]
  • [
    227
    291
    241
    366
    		]
  • [
    227
    291
    242
    366
    		]
Question 7
7.
    • If A =
    • [
      8
      9
      3
      9
      		]
    • and B =
    • [
      6
      3
      7
      6
      		]
    • , find
    • (
      A
      −
      B
      )
      2
       
  • [
    -20
    30
    -21
    -15
    		]
  • [
    -20
    30
    -20
    -12
    		]
  • [
    -20
    30
    -19
    -15
    		]
  • [
    -20
    30
    -20
    -15
    		]
  • [
    -23
    30
    -20
    -15
    		]
Question 8
8.
    • If the order of matrix A is
    • m ✕ n
    • and B is
    • n ✕ o
    • ,
    • then the order of
    • (
      A
      ✕
      B
      )
    • is
  • o ✕ m
  • n ✕ o
  • m ✕ n
  • m ✕ o
Question 9
9.
    • If A =
    • [
      0
      0
      -1
      0
      		]
    • , B =
    • [
      0
      2
      -2
      0
      		]
    • and C =
    • [
      2
      -2
      2
      2
      		]
    • ,
    • then A
    • ✕
    • (B
    • +
    • C ) =
  • [
    0
    0
    -2
    0
    		]
  • [
    0
    -1
    -2
    0
    		]
  • [
    0
    3
    -2
    0
    		]
  • [
    0
    0
    -2
    -3
    		]
  • [
    0
    0
    -1
    0
    		]
Question 10
10.
    • The order of matrix A =
    • [
      4
      5
      		]
    • is
  • 3 ✕ 1
  • 1 ✕ 1
  • 1 ✕ 2
  • 2 ✕ 1
  • 2 ✕ 2