Test: Matrix Operations - JEE MCQ

# Test: Matrix Operations - JEE MCQ

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## 15 Questions MCQ Test - Test: Matrix Operations

Test: Matrix Operations for JEE 2024 is part of JEE preparation. The Test: Matrix Operations questions and answers have been prepared according to the JEE exam syllabus.The Test: Matrix Operations MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Matrix Operations below.
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Test: Matrix Operations - Question 1

### The product of two matrics

Detailed Solution for Test: Matrix Operations - Question 1

{(1*0, 2*2, 0*x) (2*0, 0*2, 1*x) (1*0, 0*2, 2*x)}
= {4, x, 2x}

Test: Matrix Operations - Question 2

### If A, B are, respectively m × n, k × l matrices, then both AB and BA are defined if and only if​

Detailed Solution for Test: Matrix Operations - Question 2

If A, B are, respectively m × n, k × l matrices, then both AB and BA are defined if and only if n = k and l = m. In particular, if both A and B are square matrices of the same order, then both AB and BA are defined.

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Test: Matrix Operations - Question 3

### and 2A + B + X = 0, then the matrix X = ……

Detailed Solution for Test: Matrix Operations - Question 3

Test: Matrix Operations - Question 4

If  then -5A = ?

Test: Matrix Operations - Question 5

If   and  , then AXB=?

Detailed Solution for Test: Matrix Operations - Question 5

A = [2, 3, 4]
Therefore AXB = {(2*1) + (3*(-1)) + (4*2)}
AXB = {2 + (-3) + 8}
AXB = 7

Test: Matrix Operations - Question 6

If  and  , then = 2A - B?

Test: Matrix Operations - Question 7

If   and  , then AB = ?

Detailed Solution for Test: Matrix Operations - Question 7

A.B = [(-1(-1) + 2(-2) + 3(-3)   -1(-3) + 2(1) + 3(2)]

A.B = [1 - 4 - 9     3 + 2 + 6]

A.B = [-12   11]

Test: Matrix Operations - Question 8

Detailed Solution for Test: Matrix Operations - Question 8

P(n) : An = {(1+2n, -4n), (n,(1 - 2n))}
= P(k + 1) = {(1+2(k+1), -4(k+1)), (k+1, (1 - 2(k+1)}
= {(1+2k+2, -4k-4) (k+1, 1-2k-2)}
= {(2k+3, -4k-4), (k+1, -2k-1)}

Test: Matrix Operations - Question 9

Value of determinant is computed by adding multiples of one row to

Detailed Solution for Test: Matrix Operations - Question 9

Value of Determinant remains unchanged if we add equal multiples of all the elements of row (column) to corresponding elements of another row (column) If, we have a given matrix A.

Test: Matrix Operations - Question 10

If  and  , then AB = ?

Detailed Solution for Test: Matrix Operations - Question 10

A = {(2),(3)}      B = {-1,2,-2}
AB = {(-2,4,-4) (-3,6,-6)}

Test: Matrix Operations - Question 11

For a skew symmetric even ordered matrix A of integers, which of the following will not hold true:

Detailed Solution for Test: Matrix Operations - Question 11

Determinant of a skew symmetric even ordered matrix A is a non zero perfect square.

Test: Matrix Operations - Question 12

If A is a matrix of order 1×3 and B is a matrix of order 3×4, then order of the matrix obtained on multiplying A and B is​

Detailed Solution for Test: Matrix Operations - Question 12

In matrix 1*3 is one row and 3 columns and in 3*4 is three rows and four column hence multiplied matrix will be 1*4.

Test: Matrix Operations - Question 13

If  and , then A-2B is equal to

Detailed Solution for Test: Matrix Operations - Question 13

A={(-1,2) (3,-2) (-4,3)}     B={(1,3) (3,-2) (6,2)}
2B = {(2,6) (6,-6) (12,4)}
A - 2B = {(-1,2) (3,-2) (-4,3)} - {(2,6) (6,-6) (12,4)}
= {(-1-2, 2-6) (3-6, -2+4) (-4-12, 3-4)}
= {(-3,-4) (-3,2) (-16, -1)}

Test: Matrix Operations - Question 14

If  and  then AB = ?

Test: Matrix Operations - Question 15

If A and B are two matrices conformable to multiplication such that their product AB = O(Zero matrix). Then which of the following can be true​

Detailed Solution for Test: Matrix Operations - Question 15

AB = 0 does not necessarily imply that either A or B is a null matrix
- Both matrices need not be null matrices.

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