What is the product of a matrix and its inverse?a.Zero matrixb.Diagonal matrixc.Transpose matrixd.Identity matrix
Question
What is the product of a matrix and its inverse?a.Zero matrixb.Diagonal matrixc.Transpose matrixd.Identity matrix
Solution
d. Identity matrix
The product of a matrix and its inverse is the Identity matrix. This is because the definition of an inverse matrix is a matrix that, when multiplied by the original matrix, results in the identity matrix. The identity matrix is a square matrix in which all the elements of the principal (main) diagonal are ones and all other elements are zeros.
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nd the inverse of the matrix:
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