Matrices Test

Result

Matrices Test - 10

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

If A = is symmetric, then x =

A
3

B
5

C
2

D
4
Question 2
1 / -0

If A = where ad - bc 0 and A² = A, then A¹⁰⁰⁰ =

A
-I

B
I

C
1000A

D
-1000A
Question 3
1 / -0

If A = is a hermitian, then find the value of x.

A
2 – i

B
2 + i

C
1

D
Cannot be determined
Question 4
1 / -0

If A = , then which of the following is correct?

A
AA` = 0

B
AA` = 1

C
A² = 0

D
None of these
Question 5
1 / -0

If A = and B = , then

A
AB does not exist

B
AB is a 2 2 matrix

C
AB is a 3 3 matrix

D
AB exists
Question 6
1 / -0

If A = and B = , then

A
A + B does not exist

B
A − B does not exist

C
A + B exists

D
AB exists
Question 7
1 / -0

, then A² + 2A equals

A
A

B
2 A

C
3 A

D
4 A
Question 8
1 / -0

The inverse of matrix A =is

A
A

B
A^T

C

D
Question 9
1 / -0

Let A and B be two square matrices such that AB = A and BA = B. Then, A² =

A
B

B
A

C
I

D
0
Question 10
1 / -0

If A = , then | A | is

A

B

C

D
none of the above
Question 11
1 / -0

If and , find the value of ^.

A

B

C

D
Question 12
1 / -0

If U = [2 - 3 4], X = [0 2 3], V = , Y = , then UV + XY is equal to

A
20

B
[- 20]

C
- 20

D
[20]
Question 13
1 / -0

and n N, then A⁴ⁿ equals

A

B

C

D
Question 14
1 / -0

If A = , then A⁵ is equal to

A
5 A

B
10 A

C
16 A

D
32 A
Question 15
1 / -0

If A, B be matrics, then

A
det AB = det A . det B

B
det AB > det A . det B

C
det AB < det A . det B

D
det AB = det A + det B