Question: Linear Algebra Question - Please answer all questions and please show all work 4. Suppose we have 33 matrices A and B with det(A)=5 and

Linear Algebra Question - Please answer all questions and please show all work

Linear Algebra Question - Please answer all questions and please show all

4. Suppose we have 33 matrices A and B with det(A)=5 and det(B)=3. Determine the determinant of the following matrices. a. ABA b. AB2A c. 2A 5. Suppose we have a 22 matrices A with AA=[2369]. a. Use the determinant to determine whether or not A is invertible? b. Suppose instead that we had two 22 matrices B and C with BC=[2369]. From this information alone, can we determine whether or not B is invertible? Explain your answer. c. Suppose I told us that C was invertible, and its inverse was C1=[2130]. Use this to solve for the matrix B

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