If A and B are matrices of same order, then (AB' – BA') is a
skew-symmetric matrix
null matrix
symmetric matrix
None of the above
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
If A is a square matrix of order 3 such that |A| = 3, then adj (adj A) is:
27A
3A
9A
A
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
If is an idempotent matrix, then which of the following is true
a = 1
a = 4
∣A∣ = 0
∣A∣ = 2
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
Use the rules on the determinants of block matrices to compute the determinant of the matrix

-18
-16
16
0
Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
Derive the complementary projection matrix (onto S2) and use it to find the projection onto S2 of the vector

Difficulty Level: 1
Positive Marks: 1.00
Negative Marks: 0.33
95125
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
-25
-15
-1/15
None of the above
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66

Choose the correct option:

Singular
Idempotent
Skew-symmetric
Involuntary
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
0
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
A square matrix A is said to be an idempotent matrix if A^2 = A. If A and B are idempotent matrices and AB = BA, then which of the following is an idempotent matrix

A+B
A-B
AB
B-A
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66

If B is an idempotent matrix, and A = I - B then

Choose the correct options:

A^2 = A

A^2 = I

AB = 0

BA = 0

Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.00
A square matrix A is said to be an idempotent matrix if A^2 = A. If A is a non-singular idempotent matrix, then
A + A’ = 0
A = 0
A = In (identity matrix)
None of the above
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
-0.8
-0.5
0.5
1
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
Which of the following matrix projects every vector b in R^3 onto the line in the direction of

a = (2, 1, 3):

Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66
For which value(s) of x, matrix M(x) is singular

1
-1
2
-2
Difficulty Level: 1
Positive Marks: 2.00
Negative Marks: 0.66