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Test: Matrices & Determinants - 2 - Mathematics MCQ


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20 Questions MCQ Test Mathematics for Competitive Exams - Test: Matrices & Determinants - 2

Test: Matrices & Determinants - 2 for Mathematics 2024 is part of Mathematics for Competitive Exams preparation. The Test: Matrices & Determinants - 2 questions and answers have been prepared according to the Mathematics exam syllabus.The Test: Matrices & Determinants - 2 MCQs are made for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Matrices & Determinants - 2 below.
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Test: Matrices & Determinants - 2 - Question 1

The inverse of the matrix is

Detailed Solution for Test: Matrices & Determinants - 2 - Question 1

The matrix provided is:

To find the inverse of a diagonal matrix, we simply take the reciprocal of each non-zero diagonal element. The inverse of the matrix will be:

So, the inverse matrix is:

Test: Matrices & Determinants - 2 - Question 2

If the rank of a matrix A is 2, then the rank of 2A is

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Test: Matrices & Determinants - 2 - Question 3

If A = is symmetric, then x =

Test: Matrices & Determinants - 2 - Question 4

The matrix is invertible if

Test: Matrices & Determinants - 2 - Question 5

If A is a skew-symmetric matrix, then trace of A is

Test: Matrices & Determinants - 2 - Question 6

If then x and y will be

Test: Matrices & Determinants - 2 - Question 7

Matrix has a value. This statement

Test: Matrices & Determinants - 2 - Question 8

If the matrix is singular, then λ equals

Detailed Solution for Test: Matrices & Determinants - 2 - Question 8

Test: Matrices & Determinants - 2 - Question 9

If A =  are two matrices such that the product AB is a null matrix, then -is

Test: Matrices & Determinants - 2 - Question 10

If A is a square matrix such that AA` = I, then value of A`A is

Test: Matrices & Determinants - 2 - Question 11

If A is a square matrix of order n such that its elements are polynomial in x and its r-rows become identical for x = k, then

Test: Matrices & Determinants - 2 - Question 12

If A is a 3-rowed square matrix, then | 5 A | is equal to

Test: Matrices & Determinants - 2 - Question 13

In the determinant  , the ratio of the cofactor to its minor of the element – 3 is

Test: Matrices & Determinants - 2 - Question 14

The solution set of the equation is

Test: Matrices & Determinants - 2 - Question 15

If ω is an imaginary cube root of unity and x is real number, then which one of the following is a factor of 

Test: Matrices & Determinants - 2 - Question 16

If A is a square matrix of order 4, and I is a unit matrix, then it is true that

Test: Matrices & Determinants - 2 - Question 17

If then x is

Test: Matrices & Determinants - 2 - Question 18

The roots of the equation = 0 are

Test: Matrices & Determinants - 2 - Question 19

The value of determinant is

Test: Matrices & Determinants - 2 - Question 20

The value of 

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