In Exercises 1–12, use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix.
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- In Exercises 1-10, find the inverse of the given matrix (if it exists) using Theorem 3.8. 4.arrow_forwardIn Exercises 1-10, find the inverse of the given matrix (if it exists) using Theorem 3.8. 10. , where neitherarrow_forwardIn Exercises 1-10, find the inverse of the given matrix (if it exists) using Theorem 3.8. 9.arrow_forward
- In Exercises30-35, verify Theorem 3.32 by finding the matrix of ST (a) by direct substitution and (b) by matrix multiplication of [S] [T]. T[x1x2]=[x1x2x1+x2],S[y1y2]arrow_forwardIn Exercises 30-35, verify Theorem 3.32 by finding the matrix of ST (a) by direct substitution and (b) by matrix multiplication of [S] [T]. T[x1x2x3]=[x1+x2x32x1x2+x3],S[y1y2]=[4y12y2y1+y2]arrow_forwardIn Exercises 31-38, find the inverse of the given elementary matrix. [10121]arrow_forward
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