Matrix

If A = [a_ij]_{n × n} such that a_ij = 0 for i ≠ j then A is _____ (a_ij  ≠ a_jj ) (n > 1)

• a column matrix

• a row matrix

• a diagonal matrix

• a scalar matrix

A is 3 × 4 matrix, if A^TB and BA^T are defined then, B is a _____ matrix.

• 4 × 3

• 3 × 3

• 4 × 4

• 3 × 4

If A is skew-symmetric 3 × 3 matrix, |A| = _____ .

• 1

• 0

• -1

• 3

If A=diag [1 -1 2] and B=diag [3 2 1], then B-A=_____

• diag [-2 -3 1]

• diag [2 3 -1]

• diag [4 1 3]

• diag [-1 3 2]

The number of non zero rows in an echlon form is called as

• rank of a matrix

• co-factor of the matrix

• conjugate of the matrix

• reduced echlon form

Transpose of a row matrix is

• zero matrix

• row matrix

• column matrix

• diagonal matrix

If A is a symmetric matrix then A^T is

• A

• |A|

• 0

• diagonal matrix

If A is a 2 × 2 matrix given by A = [[1, 2], [3, 4]], then the determinant |A| = _____.

• 0

• 1

• -2

• 2

The system AX = 0 is _____.

• unique

• always consistent

• inconsistent

• non homogeneous