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Matrices - Equality

Matrices - Equality. Two matrices are said to be equal if they meet the following conditions:. 1) They must be of the same order (row by column). 2) All corresponding entries must be the equal . Matrices - Equality. Example 1:. Consider matrices A and B given by .

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Matrices - Equality

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  1. Matrices - Equality • Two matrices are said to be equal if they meet the following conditions: 1) They must be of the same order (row by column). 2) All corresponding entries must be the equal.

  2. Matrices - Equality • Example 1: Consider matrices A and B given by ... • The order of matrix A is 2  3 (row  column), as is the order of matrix B. • The corresponding entries of A and B are equal. For example, a12= b12 = - 2 (row 1 column 2 entries). • Since the two conditions are met, A = B. Slide 2

  3. Matrices - Equality • Example 2: Consider matrices C and D given by ... • The order of matrix C is 4  2 (row  column), as is the order of matrix D. Slide 3

  4. Matrices - Equality • Assume that the two matrices are equal, or C = D. Then the corresponding entries of C and D must be equal. This requires that ... x = - 2 (row 1, column 2 entries) y = 2 (row 3, column 1 entries) z = 3 (row 4, column 2 entries) Slide 4

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