ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Matrices
Question 1
1.
    • If A =
    • [
      -2
      9
      -7
      9
      		]
    • and B =
    • [
      8
      -6
      7
      -4
      		]
    • , then A
    • ✕
    • B =
  • [
    44
    -24
    7
    6
    		]
  • [
    47
    -24
    6
    6
    		]
  • [
    47
    -24
    8
    6
    		]
  • [
    47
    -24
    7
    6
    		]
  • [
    47
    -24
    10
    6
    		]
Question 2
2.
    • If
    • [
      (
      9
      x
      +
      3
      y
      		)
      7
      1
      (
      7
      x
      +
      7
      y
      		)
      		]
    • =
    • [
      -3
      7
      1
      -5
      		]
    • , find x and y
  • (
    (
    -4
    7
    		 )
    ,
    (
    -1
    7
    		 )
    )
  • (
    1
    7
    ,
    (
    -4
    7
    		 )
    )
  • (
    (
    -1
    7
    		 )
    ,
    (
    -4
    7
    		 )
    )
  • (
    (
    -1
    7
    		 )
    ,
    (
    -4
    5
    		 )
    )
  • (
    (
    -1
    9
    		 )
    ,
    (
    -4
    9
    		 )
    )
Question 3
3.
Which of the following are true?
a)
A zero matrix is a square matrix
b)
    • A
    • 1 ✕ 1
    • matrix has only one element
c)
A unit matrix has only one row and one column
d)
A scalar matrix has all elements with same value
  • {a,d,b}
  • {a,c,b}
  • {a,b}
  • {b,c}
  • {d,c}
Question 4
4.
    • Given A =
    • [
      -4
      8
      -8
      5
      		]
    • and B =
    • [
      68
      59
      		]
    • ,
    • find P such that AP = B
  • [
    0
    7
    		]
  • [
    -4
    7
    		]
  • [
    -2
    7
    		]
  • [
    -6
    7
    		]
  • [
    -3
    7
    		]
Question 5
5.
    • If A =
    • [
      7
      2
      5
      2
      		]
    • and B =
    • [
      1
      5
      7
      9
      		]
    • , find
    • A
      2
       
    • −
    • B
      2
       
  • [
    23
    -32
    -25
    -100
    		]
  • [
    23
    -32
    -25
    -102
    		]
  • [
    23
    -32
    -25
    -103
    		]
  • [
    20
    -32
    -25
    -102
    		]
  • [
    24
    -32
    -25
    -102
    		]
Question 6
6.
Which of the following pairs of matrices can be multiplied?
      • [
        6
        -7
        -3
        		]
      • ,
      • [
        0
        3
        -2
        -9
        -7
        3
        		]
      • [
        -9
        1
        8
        1
        		]
      • ,
      • [
        -3
        -7
        3
        -1
        6
        3
        		]
      • [
        5
        2
        -5
        		]
      • ,
      • [
        -3
        -7
        3
        -1
        6
        3
        		]
      • [
        -9
        1
        8
        1
        		]
      • ,
      • [
        2
        -2
        		]
      • [
        2
        -2
        		]
      • ,
      • [
        0
        3
        -2
        -9
        -7
        3
        		]
Question 7
7.
Which of the following pairs of matrices are comparable?
      • [
        6
        9
        8
        4
        		]
      • ,
      • [
        0
        -7
        6
        -2
        		]
      • [
        6
        9
        8
        4
        		]
      • ,
      • [
        -3
        -7
        7
        1
        -7
        -9
        		]
      • [
        6
        9
        8
        4
        		]
      • ,
      • [
        -5
        -3
        1
        4
        5
        -3
        		]
      • [
        6
        9
        8
        4
        		]
      • ,
      • [
        -6
        1
        		]
      • [
        -3
        -7
        7
        1
        -7
        -9
        		]
      • ,
      • [
        -5
        -3
        1
        4
        5
        -3
        		]
Question 8
8.
    • If A =
    • [
      -1
      2
      -2
      2
      		]
    • , B =
    • [
      -1
      2
      -2
      -1
      		]
    • and C =
    • [
      0
      -2
      1
      0
      		]
    • ,
    • then (A
    • ✕
    • B)
    • ✕
    • C =
  • [
    -4
    6
    -5
    4
    		]
  • [
    -4
    5
    -6
    4
    		]
  • [
    -4
    4
    -6
    4
    		]
  • [
    -4
    6
    -6
    4
    		]
  • [
    -4
    6
    -4
    4
    		]
Question 9
9.
    • If A =
    • [
      a
      b
      c
      d
      		]
    • and B =
    • [
      1
      4
      7
      6
      		]
    • and if A = B,
    • find the values of a, b, c and d
  • a = 7, b = 4, c = 6, d = 1
  • a = 1, b = 4, c = 7, d = 6
  • a = 7, b = 1, c = 4, d = 6
  • a = 6, b = 1, c = 7, d = 4
Question 10
10.
    • Which of the following matrices is a
    • 2 ✕ 1
    • matrix ?
  • [
    1
    7
    8
    2
    2
    1
    		]
  • [
    1
    2
    3
    5
    		]
  • [
    8
    7
    		]
  • [
    4
    9
    		]
  • [
    9
    6
    7
    		]