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 At.

(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.


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