**Transposed Matrix**: matrix A^{t}obtained from matrix A by neatly changing rows by columns or columns by rows. For example:

Thus, if the matrix **THE** it's like m x n, **THE ^{t}** is of type n x m. Note that the first line of

**THE**corresponds to the 1st column of

**THE**and the 2nd row of A corresponds to the 2nd column of

^{t}**THE**.

^{t}**Symmetric matrix**: square matrix of order n such that**A = A**For example,^{t}.

is symmetrical because the_{12} = a_{21} = 5, the_{13 }= a_{31} = 6, the_{23} = a_{32} = 4, ie we always have the _{ij} = a _{ji.}

**Opposite Matrix**: matrix**-THE**obtained from**THE**changing the signal of all the elements of**THE**. For example, .

## Equality of matrices

Two matrices, A and B, of the same type m x n, are equal if and only if all elements occupying the same position are equal:

.

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