Matrices and Determinants Test

Result

Matrices and Determinants Test - 4

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Question 1
4 / -1

Let a, b, c be the real numbers. Then following system of equations in x, y and z

A
no solution

B
unique solution

C
infinitely many solutions

D
finitely many solutions

Solution
Question 2
4 / -1

If A and B are square matrices of equal degree, then which one is correct among the followings?

A
A + B = B + A

B
A + B = A – B

C
A – B = B – A

D
AB = BA

Solution
Question 3
4 / -1

The parameter, on which the value of the determinant

A
a

B
p

C
d

D
x

Solution
Question 4
4 / -1

If the system of equations x – ky – z = 0, kx – y – z = 0, x + y – z = 0 has a non-zero solution, then the possible values of k are

A
–1, 2

B
1, 2

C
0, 1

D
–1, 1
Question 5
4 / -1

If A and B are two symmetric matrices of same order. Then, the matrix AB - BA is equal to

A
a symmetric matrix

B
a skew - symmetric matrix

C
a null matrix

D
the identity matrix

Solution
Question 6
4 / -1

If ω is a complex cube root of unity and

A
ω² A

B
ωA

C
A

D
0

Solution
Question 7
4 / -1

A
a = 1 = 2b

B
a = b

C
a = b²

D
ab = 1

Solution
Question 8
4 / -1

IF m [–3 4] + n [4 –3] = [10 – 11] , then 3m + 7n is equal to

A
3

B
5

C
10

D
1

Solution
Question 9
4 / -1

A
1

B
2

C
4

D
8

Solution
Question 10
4 / -1

A
independent of α

B
independent of β

C
independent of α and β

D
None of these

Solution