SOLUTION: Could you please take the time to help me solve this question: Suppose A is a 2 x 3 matrix, where its first row consists of 1, 2, and 0, and its second row consists of 0, 2, and 1.

Question 101340: Could you please take the time to help me solve this question: Suppose A is a 2 x 3 matrix, where its first row consists of 1, 2, and 0, and its second row consists of 0, 2, and 1. Find the transpose of A, i.e., AT, then multiply A by its transpose, i.e., A AT and finally find the inverse matrix of their product.
Thank you, very much for taking the time to help me, most appreciated
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given matrix

Find the transpose of A by flipping each entry over the diagonal. In other words, the entry in the first row and second column switches with the entry in the second row and first column. So in general where i and j are the row and column numbers

Now multiply the two matrices

Now find the determinant of the previous matrix. Remember, if , the determinant of matrix A is

Now find the inverse through this formula:

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