Test: Matrices & Determinants - 3

Question 1

The adjoint of is given by

Accepted Answer

Answer

Answer

Answer

Question 2

The rank of a unit matrix of order n is

Accepted Answer

n

Answer

1

Answer

2

Answer

0

Question 3

A is a skew-symmetric matrix and n is a positive integer, then An is

Accepted Answer

none of these

Answer

a symmetric matrix

Answer

a skew-symmetric matrix

Answer

a diagonal matrix

Question 4

If A = then

Accepted Answer

AB and BA both are defined

Answer

AB exist but BA does not exist

Answer

BA exists but not AB

Answer

AB and BA both do not exist

Question 5

Let P = . Then, the eigen vectors corresponding to the eigen values i and -i respectively are

Accepted Answer

Answer

Answer

Answer

Question 6

Let Δ = where a = i, b = ^ω, c = ^ω2, then Δ is equal to

Accepted Answer

i

Answer

- 1

Answer

1

Answer

&minus; i

Question 7

The only integral root of the equation is

Accepted Answer

y = 1

Answer

y = 2

Answer

y = 3

Answer

None of these

Question 8

The value of the determinant is

Accepted Answer

4xyz

Answer

6xyz

Answer

xyz

Answer

xy + yz + zx

Question 9

If 5 is one of the roots of equation then other two roots of equation are

Accepted Answer

2, &ndash; 7

Answer

&ndash; 2, 7

Answer

– 2, – 7

Answer

2, 7

Question 10

The value of the determinant (being + ve) is

Accepted Answer

0

Answer

logyx

Answer

logzy

Answer

logxz

Question 11

The value of is

Accepted Answer

a³ (a + 4)

Answer

a + 4

Answer

a (a + 4)

Answer

none of these

Question 12

Accepted Answer

3abc - a³ - b³ - c³

Answer

3abc + a³ + b³ + c³

Answer

abc - a³ + b³ + c³

Answer

abc + a³ - b³ - c³

Question 13

<img src="https://cn.edurev.in/ApplicationImages/Temp/ddb1a003-7cef-4e29-8786-0bc7b8f4a589_lg.jpg" />then x is

Accepted Answer

0, 3

Answer

1, 1

Answer

0, &ndash; 1

Answer

1, &ndash; 1

Question 14

Value of determinant is

Accepted Answer

None of these

Answer

2

Answer

x2 + 2

Answer

- 2

Question 15

If = Ax - 12, then the value of A is

Accepted Answer

24

Answer

12

Answer

&ndash; 12

Answer

&ndash; 24

Question 16

The system of simultaneous equations kx + 2y - z = 1; (k - 1) y - 2z = 2 and (k + 2) z = 3 have a unique solution if k equals

Accepted Answer

- 1

Answer

- 2

Answer

0

Answer

1

Question 17

If the system of equations 2x + 3y + 5 = 0, x + ky + 5 = 0, kx – 12y – 14 = 0 be consistent, then k =

Accepted Answer

– 6, 17/5

Answer

– 2, 12/5

Answer

&ndash; 1, 1/5

Answer

6, – 12/5

Question 18

If A + B + C = π, then the value of is

Accepted Answer

0

Answer

1

Answer

2 tan A sin B cos C

Answer

None of these

Question 19

If a ≠ p, b ≠ q, c ≠ r and = 0, then the value of is

Accepted Answer

2

Answer

12

Answer

4

Answer

0

Question 20

If A is an invertible matrix, then det (A^-1) is equal to

Accepted Answer

Answer

det (A)

Answer

1

Answer

none of these

Matrices & Determinants - 3 - Free MCQ Practice Test with solutions, Airforce

MCQ Practice Test & Solutions: Test: Matrices & Determinants - 3 (20 Questions)

The adjoint of is given by

The rank of a unit matrix of order n is

A is a skew-symmetric matrix and n is a positive integer, then An is

If A = then

Let P = . Then, the eigen vectors corresponding to the eigen values i and -i respectively are

Let Δ = where a = i, b = ^ω, c = ^ω2, then Δ is equal to

The only integral root of the equation is

The value of the determinant is

If 5 is one of the roots of equation then other two roots of equation are

The value of the determinant (being + ve) is

The value of is

then x is

Value of determinant is

If = Ax - 12, then the value of A is

The system of simultaneous equations kx + 2y - z = 1; (k - 1) y - 2z = 2 and (k + 2) z = 3 have a unique solution if k equals

If the system of equations 2x + 3y + 5 = 0, x + ky + 5 = 0, kx – 12y – 14 = 0 be consistent, then k =

If A + B + C = π, then the value of is

If a ≠ p, b ≠ q, c ≠ r and = 0, then the value of is

If A is an invertible matrix, then det (A^-1) is equal to

Mathematics for Airmen Group X

Mathematics for Airmen Group X

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About this Airforce X Y / Indian Navy SSR Practice Test

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Matrices & Determinants - 3 - Free MCQ Practice Test with solutions, Airforce

MCQ Practice Test & Solutions: Test: Matrices & Determinants - 3 (20 Questions)

The adjoint of is given by

The rank of a unit matrix of order n is

A is a skew-symmetric matrix and n is a positive integer, then An is

If A = then

Let P = . Then, the eigen vectors corresponding to the eigen values i and -i respectively are

Let Δ = where a = i, b = ω, c = ω2, then Δ is equal to

The only integral root of the equation is

The value of the determinant is

If 5 is one of the roots of equation then other two roots of equation are

The value of the determinant (being + ve) is

The value of is

then x is

Value of determinant is

If = Ax - 12, then the value of A is

The system of simultaneous equations kx + 2y - z = 1; (k - 1) y - 2z = 2 and (k + 2) z = 3 have a unique solution if k equals

If the system of equations 2x + 3y + 5 = 0, x + ky + 5 = 0, kx – 12y – 14 = 0 be consistent, then k =

If A + B + C = π, then the value of is

If a ≠ p, b ≠ q, c ≠ r and = 0, then the value of is

If A is an invertible matrix, then det (A-1) is equal to

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

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Let Δ = where a = i, b = ^ω, c = ^ω2, then Δ is equal to

If A is an invertible matrix, then det (A^-1) is equal to