Equality of Matrices

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If two matrices have their corresponding elements equal, then they are called equal matrices.

If then a = p, b = q, c = r and d = s.

a = 7, b = 9, c = 3.

(i) Two equal matrices are exactly the same.

(ii) If rows are changed into columns and columns into rows, we get a transpose matrix. If the original matrix is A, its transpose is usually denoted by A^' or A^t.

(iii) If two matrices are of the same order (no condition on elements) they are said to be comparable.

For example, if then its transpose matrix

If the given matrix A is of the order m x n, then its transpose will be of the order n x m.