ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Matrices
Question 1
1.
    • If A =
    • [
      a
      b
      c
      d
      		]
    • and B =
    • [
      p
      q
      r
      s
      		]
    • ,
    • then
    • (
      A
      ✕
      B
      )
    • =
  • [
    a
    p
    		  +  
    b
    r
    c
    p
    		  +  
    d
    r
    a
    q
    		  +  
    b
    s
    c
    q
    		  +  
    d
    s
    		]
  • [
    a
    p
    		  +  
    b
    r
    a
    q
    		  +  
    b
    s
    c
    p
    		  +  
    d
    r
    c
    q
    		  +  
    d
    s
    		]
  • [
    a
    p
    		  +  
    b
    q
    a
    r
    		  +  
    b
    s
    c
    p
    		  +  
    d
    q
    c
    r
    		  +  
    d
    s
    		]
  • [
    a
    p
    		  +  
    c
    q
    a
    r
    		  +  
    c
    s
    b
    p
    		  +  
    d
    q
    b
    r
    		  +  
    d
    s
    		]
  • [
    p
    a
    		  +  
    q
    c
    p
    b
    		  +  
    q
    d
    r
    a
    		  +  
    s
    c
    r
    b
    		  +  
    s
    d
    		]
Question 2
2.
    • If A =
    • [
      -4
      2
      -4
      -1
      		]
    • and B =
    • [
      -4
      0
      3
      0
      		]
    • , then
    • 3
    • A
    • +
    • 7
    • B =
  • [
    -40
    6
    9
    0
    		]
  • [
    -40
    5
    9
    -3
    		]
  • [
    -40
    6
    9
    -3
    		]
  • [
    -40
    3
    9
    -3
    		]
  • [
    -40
    7
    9
    -3
    		]
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
      • 1 ✕ 2 , 2 ✕ 3
      • 1 ✕ 2 , 2 ✕ 1
      • 2 ✕ 3 , 3 ✕ 1
      • 3 ✕ 2 , 1 ✕ 2
Question 4
4.
    • Which of the following matrices is a
    • 2 ✕ 2
    • matrix ?
  • [
    6
    2
    7
    7
    5
    1
    5
    7
    1
    		]
  • [
    1
    2
    3
    2
    		]
  • [
    6
    2
    8
    2
    9
    8
    9
    8
    2
    		]
  • [
    2
    2
    6
    1
    5
    4
    		]
  • [
    3
    3
    8
    3
    3
    2
    		]
Question 5
5.
    • If A =
    • [
      8
      3
      -6
      6
      		]
    • and B =
    • [
      4
      -3
      -4
      3
      		]
    • , then A
    • +
    • B =
  • [
    13
    0
    -10
    9
    		]
  • [
    12
    0
    -10
    8
    		]
  • [
    12
    0
    -10
    9
    		]
  • [
    12
    -2
    -10
    9
    		]
  • [
    15
    0
    -10
    9
    		]
Question 6
6.
    • If A =
    • [
      4
      9
      2
      1
      		]
    • and B =
    • [
      6
      1
      9
      5
      		]
    • , find
    • A
      2
       
    • +
    • B
      2
       
    • −
    • 2AB
  • [
    -131
    -42
    64
    39
    		]
  • [
    -131
    -42
    67
    38
    		]
  • [
    -131
    -42
    67
    39
    		]
  • [
    -131
    -42
    70
    39
    		]
  • [
    -130
    -42
    67
    39
    		]
Question 7
7.
    • If A =
    • [
      9
      0
      9
      4
      		]
    • and B =
    • [
      -5
      6
      -4
      3
      		]
    • , then A
    • ✕
    • B =
  • [
    -45
    57
    -61
    66
    		]
  • [
    -45
    52
    -61
    66
    		]
  • [
    -45
    54
    -62
    66
    		]
  • [
    -45
    54
    -61
    66
    		]
  • [
    -45
    55
    -61
    66
    		]
Question 8
8.
    • The order of matrix A =
    • [
      2
      -4
      5
      		]
    • is
  • 4 ✕ 1
  • 2 ✕ 1
  • 1 ✕ 3
  • 3 ✕ 2
  • 3 ✕ 1
Question 9
9.
    • If A =
    • [
      -9
      -6
      -3
      8
      		]
    • , the value of -A =
  • [
    9
    6
    5
    -8
    		]
  • [
    9
    6
    3
    -8
    		]
  • [
    9
    7
    3
    -8
    		]
  • [
    9
    6
    3
    -11
    		]
  • [
    9
    5
    3
    -8
    		]
Question 10
10.
Which of the following is a null matrix ?
  • [
    0
    0
    0
    -1
    		]
  • [
    0
    0
    1
    0
    		]
  • [
    3
    0
    0
    0
    		]
  • [
    -2
    0
    0
    0
    		]
  • [
    0
    0
    0
    0
    		]