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Equality of Matrices

definition

Two matrices A = `[a_(ij)]` and B = `[b_(ij)]` are said to be equal if
(i) they are of the same order 
(ii) each element of A is equal to the corresponding element of B, that is `a_(ij)` = `b_(ij)` for all i and j.

For example, `[(2,3),(0,1)]` and `[(2,3),(0,1)]`  are equal matrices but

`[(3,2),(0,1)]`  and `[(2,3),(0,1)]` are not equal matrices. Symbolically,

if two matrices A and B are equal, we write A = B.

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Shaalaa.com | Matrices class 12 part 8 (Equality of matrices)

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Matrices class 12 part 8 (Equality of matrices) [00:11:46]
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