2. Matrix Algebra



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zero matrix with any other matrix is the zero matrix of the appropriate dimensions.



Example 2.2.04

but is not defined


Example 2.2.05
Find A 2, where .


Example 2.2.06
Find A 2, where and k is any real number.

Note that in scalar arithmetic x 2 = 1  x = ±1, but in matrix multiplication



Example 2.2.07
Find A 2, where .

Note that in scalar arithmetic x 2 = 0  x = 0, but in matrix multiplication


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