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(d) AAT is 2 × 2, use the formula below for the inverse of a 2 x 2 matrix to find (AAT)-¹. (e) Use (AAT)-¹ to compute a right inverse to A. (f) Use the right inverse of A from (e) to find a solution to the system from (a).

(d) AAT is 2 × 2, use the formula below for the inverse of a 2 x 2 matrix to find (AAT)-¹. (e) Use (AAT)-¹ to compute a right inverse to A. (f) Use the right inverse of A from (e) to find a solution to the system from (a).

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Please show me step by step how to do this with answer for D E AND F. 

Problem 8. The following problem outlines and expects you to execute the process of finding a solution to a system of equations. (a) Express the following systems of equations in the form Ax = b where AER2׳ and be R². X1 + x2 + -x3 3 2x1 + -X1 + x3 = -12 (b) Compute rref(A), what is the rank of A? Is it full rank? (c) Compute AAT. (d) AAT is 2 × 2, use the formula below for the inverse of a 2 × 2 matrix to find (AA)-¹. (e) Use (AAT)-¹ to compute a right inverse to A. (f) Use the right inverse of A from (e) to find a solution to the system from (a).
Transcribed Image Text:Problem 8. The following problem outlines and expects you to execute the process of finding a solution to a system of equations. (a) Express the following systems of equations in the form Ax = b where AER2׳ and be R². X1 + x2 + -x3 3 2x1 + -X1 + x3 = -12 (b) Compute rref(A), what is the rank of A? Is it full rank? (c) Compute AAT. (d) AAT is 2 × 2, use the formula below for the inverse of a 2 × 2 matrix to find (AA)-¹. (e) Use (AAT)-¹ to compute a right inverse to A. (f) Use the right inverse of A from (e) to find a solution to the system from (a).
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