Matrices and Determinants Test

Result

Matrices and Determinants Test - 11

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Weekly Quiz Competition

Question 1
4 / -1

The number of values of k for which the system of equations (k + 1)x + 8y = 4k; kx + (k + 3) y = 3k – 1 has infinitely many solutions is

A
0

B
1

C
2

D
infinite

Solution
Question 2
4 / -1

A
0

B
2/3

C
5/4

D
– (4/5)

Solution
Question 3
4 / -1

If A is square matrix A^' is its transpose, then 1/2(A – A^') is

A
a symmetric matrix

B
a skew - symmertic matrix

C
a unit matrix

D
an elementary matrix

Solution
Question 4
4 / -1

A
4A – 3I

B
3A – 4I

C
A – I

D
A + I

Solution
Question 5
4 / -1

A
χ = – 2, y = 1

B
χ = – 9, y = 10

C
χ = 22, y = 1

D
χ = 2, y = – 1

Solution
Question 6
4 / -1

If A and B are square matrices of size n × n such that A² – B² = (A – B)(A + B), then which of the following will be always correct ?

A
AB = BA

B
either A or B is a zero matrix

C
either A or B is an identity matrix

D
A = B

Solution
Question 7
4 / -1

A
A(2α)

B
A(α)

C
A(3α)

D
A(4α)

Solution
Question 8
4 / -1

A
unitary

B
orthogonal

C
nilpotent

D
involutary

Solution
Question 9
4 / -1

A
0

B
- 4

C
4 but not 1

D
1 or 4

Solution
Question 10
4 / -1

If A is matrix that A² = A + I, where I is unit matrix then A⁵ is equal to

A
5A + I

B
5A + 2I

C
5A + 3I

D
5A + 4I

Solution