Question

MCQ (100)
Q1. If AT = -A then A is said to be
(A) A.square matrix
(B) B.skew symmetric
(C) C.transpose
(D) symmetric​

Answer 1

Answer:

ans is B option in ncert derivation is given in which it tells that At =-A

Answer 2

If AT = -A then A is said to be (B)skew-symmetric matrix.

A square matrix is a matrix with an equal number of rows and columns. The transpose of a matrix can be calculated by exchanging the rows with the columns.

A skew-symmetric matrix is a square matrix whose transpose is equal to the negative of the matrix. While a symmetric matrix is a matrix whose transpose is equal to the matrix itself.

Here it is given that the transpose of the matrix A is equal to -A, therefore A is a skew-symmetric matrix.