What is the product of a matrix and its inverse? a. Zero matrix b. Identity matrix c. Transpose matrix d. Diagonal matrix
Question
What is the product of a matrix and its inverse?
a. Zero matrix
b. Identity matrix
c. Transpose matrix
d. Diagonal matrix
Solution
b. Identity matrix
The product of a matrix and its inverse is the Identity matrix. This is a fundamental property of inverse matrices. The identity matrix is a special matrix with ones on the diagonal and zeros elsewhere. It's the equivalent of the number 1 in matrix multiplication.
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