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Given the following matrices:
Carry out each indicated operations, or explain why it cannot be performed.
(a) A + B
(b) C - D
(c) C + A
(d) 5A
Solution:
(a) If you add the two matrices with the same dimensions, then each term or entry in a row or column will be added together. Therefore,
(b) If you subtract the two matrices with the same dimensions, then each term or entry in a row or column will be subtracted together. Therefore,
(c) C + A is undefined because we can't add matrices of different dimensions.
(d) If you multiply a matrix with any coefficient, variable, or any single term, then each term or entry will be multiplied by any coefficient, variable, or any single term as follows
