Which matrix operation is NOT commutative? a. Matrix inversion b. Matrix subtraction c. Matrix multiplication d. Matrix addition
Question
Which matrix operation is NOT commutative?
a. Matrix inversion
b. Matrix subtraction
c. Matrix multiplication
d. Matrix addition
Solution
The matrix operations that are NOT commutative are:
a. Matrix inversion b. Matrix subtraction c. Matrix multiplication
Matrix addition (d) is the only operation that is commutative. This means that the order in which the matrices are added does not change the result (A + B = B + A). However, for the other three operations, the order in which the matrices are operated can change the result (for example, AB ≠ BA for matrix multiplication).
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