Test: Matrices & Determinants - 2

Question 1

The inverse of the matrix is

Accepted Answer

Answer

Answer

Answer

Question 2

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

Accepted Answer

2

Answer

4

Answer

1

Answer

none of these

Question 3

If A = is symmetric, then x =

Accepted Answer

5

Answer

3

Answer

2

Answer

4

Question 4

The matrix is invertible if

Accepted Answer

^{λ ≠}- 17

Answer

^{λ ≠} - 15

Answer

^{λ ≠} - 16

Answer

^{λ ≠} - 18

Question 5

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

Accepted Answer

0

Answer

1

Answer

- 1

Answer

none of these

Question 6

If then x and y will be

Accepted Answer

x = 2, y = 5

Answer

x = 4, y = 2

Answer

x = 2, y = 4

Answer

x = 1, y = 3

Question 7

Matrix has a value. This statement

Accepted Answer

is always false

Answer

is always true

Answer

depends upon the order of the matrix

Answer

depends upon the elements of the matrix

Question 8

If the matrix is singular, then λ equals

Accepted Answer

4

Answer

-2

Answer

2

Answer

1

Question 9

If A and B are the matrices shown in the image below and the product AB is the null matrix, then α - β is matrices A and B

Accepted Answer

an odd multiple of π/2

Answer

0

Answer

a multiple of π

Answer

none of these

Question 10

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

Accepted Answer

I

Answer

A2

Answer

A-1

Answer

0

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

Accepted Answer

(x - k)^r is a factor of |A|

Answer

(x - k)^r ^{- 1} is a factor of |A|

Answer

(x - k)^r ^{+ 1} is a factor of |A|

Answer

(x - k)^r is a factor of A

Question 12

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

Accepted Answer

125 | A |

Answer

5 | A |

Answer

25 | A |

Answer

None of these

Question 13

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

Accepted Answer

&ndash; 1

Answer

0

Answer

1

Answer

None of these

Question 14

The solution set of the equation is

Accepted Answer

{1, 2, – 3}

Answer

{1, – 2, 3}

Answer

{– 1, 2, 3}

Answer

None of these

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

Accepted Answer

(x - 1)

Answer

(x + 1)`

Answer

(x - &omega;)

Answer

(x - &omega;2)

Question 16

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

Accepted Answer

det (2 A) = 16 det (A)

Answer

det (- A) = - det (A)

Answer

det (2A) = 2 det (A)

Answer

det (A + 1) = det A + 1

Question 17

If then x is

Accepted Answer

&plusmn; 2&radic;2

Answer

&plusmn; 3&radic;2

Answer

&plusmn; 3

Answer

&plusmn; 2&radic;3

Question 18

The roots of the equation = 0 are

Accepted Answer

- 14/15, 2

Answer

- 1, - 2

Answer

1, - 2

Answer

1, 2

Question 19

The value of determinant is

Accepted Answer

0

Answer

abc

Answer

4abc

Answer

a2b2c2

Question 20

The value of

Accepted Answer

4a2b2c2

Answer

2abc

Answer

2a2b2c2

Answer

a2b2c2

Matrices & Determinants - 2 - Free MCQ Practice Test with solutions, Airforce

MCQ Practice Test & Solutions: Test: Matrices & Determinants - 2 (20 Questions)

The inverse of the matrix is

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

If A = is symmetric, then x =

The matrix is invertible if

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

If then x and y will be

Matrix has a value. This statement

If the matrix is singular, then λ equals

If A and B are the matrices shown in the image below and the product AB is the null matrix, then α - β is

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

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

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

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

The solution set of the equation is

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

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

If then x is

The roots of the equation = 0 are

The value of determinant is

The value of

Mathematics for Airmen Group X

Mathematics for Airmen Group X

Top Courses for Airforce X Y / Indian Navy SSR

About this Airforce X Y / Indian Navy SSR Practice Test

Explore more Airforce X Y / Indian Navy SSR Study Resources