ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Matrices
Question 1
1.
    • If A =
    • [
      1
      1
      0
      3
      		]
    • , then find AI
  • [
    1
    4
    0
    3
    		]
  • [
    1
    1
    -2
    3
    		]
  • [
    1
    1
    0
    3
    		]
  • [
    1
    1
    1
    3
    		]
  • [
    1
    1
    -1
    3
    		]
Question 2
2.
Which of the following are true ?
a)
If A X B is possible, the no of cols in A must be equal to no of rows in B
b)
If A X B is possible, the no of rows in A must be equal to no of cols in B
c)
If A X B is possible, the no of cols in A must be equal to no of cols in B
d)
If A X B is possible, the no of rows in A must be equal to no of rows in B
  • {d,b,a}
  • {b,a}
  • {a}
  • {c,a}
Question 3
3.
    • If A =
    • [
      2
      -2
      -2
      		]
    • and B =
    • [
      1
      2
      -1
      		]
    • , then A
    • −
    • B =
  • [
    1
    -4
    -1
    		]
  • [
    0
    -4
    -1
    		]
  • [
    1
    -6
    -1
    		]
  • [
    1
    -3
    -1
    		]
  • [
    1
    -1
    -1
    		]
Question 4
4.
    • The order of matrix A =
    • [
      -2
      -5
      -1
      -2
      4
      -4
      		]
    • is
  • 4 ✕ 2
  • 3 ✕ 2
  • 2 ✕ 3
  • 2 ✕ 2
  • 3 ✕ 3
Question 5
5.
    • The order of matrix A =
    • [
      -4
      -5
      -4
      2
      		]
    • is
  • 1 ✕ 2
  • 2 ✕ 1
  • 2 ✕ 2
  • 3 ✕ 2
  • 2 ✕ 3
Question 6
6.
    • 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
      • 3 ✕ 2 , 1 ✕ 2
      • 1 ✕ 2 , 2 ✕ 1
      • 2 ✕ 3 , 3 ✕ 1
      • 1 ✕ 2 , 2 ✕ 3
Question 7
7.
    • Find the
    • additive
    • identity of matrix A =
    • [
      -6
      -7
      1
      -4
      		]
  • [
    0
    0
    0
    0
    		]
  • [
    0
    0
    1
    0
    		]
  • [
    0
    -1
    0
    0
    		]
  • [
    0
    0
    0
    -2
    		]
  • [
    0
    3
    0
    0
    		]
Question 8
8.
Which of the following pairs of matrices can be multiplied?
      • [
        -1
        0
        -5
        4
        		]
      • ,
      • [
        3
        8
        9
        -7
        0
        -7
        		]
      • [
        -1
        0
        -5
        4
        		]
      • ,
      • [
        -8
        9
        2
        -8
        		]
      • [
        -1
        0
        -5
        4
        		]
      • ,
      • [
        -4
        5
        		]
      • [
        6
        6
        -7
        		]
      • ,
      • [
        6
        -5
        -5
        -9
        -6
        2
        		]
      • [
        -1
        1
        -7
        		]
      • ,
      • [
        3
        8
        9
        -7
        0
        -7
        		]
Question 9
9.
    • If the order of matrix A is
    • m ✕ n
    • and B is
    • n ✕ o
    • ,
    • then the order of
    • (
      A
      ✕
      B
      )
    • is
  • n ✕ o
  • o ✕ m
  • m ✕ n
  • m ✕ o
Question 10
10.
    • If A =
    • [
      2
      -4
      -6
      -6
      		]
    • and B =
    • [
      6
      0
      -1
      -5
      		]
    • , then
    • 10
    • A
    • −
    • 7
    • B =
  • [
    -22
    -37
    -53
    -25
    		]
  • [
    -22
    -40
    -53
    -25
    		]
  • [
    -22
    -40
    -53
    -24
    		]
  • [
    -22
    -41
    -53
    -25
    		]
  • [
    -22
    -43
    -53
    -25
    		]