1 ,b, 8 18 Let A= b2 , and b, a. Find A and use it solve the four equations Ax =b1, Ax = b2 Ax = b3, and Ax = b4- b. The four equations in part (a) can be solved by the same set of operations, since the coefficient matrix is the same in each case. Solve the four equations in part (a) by row reducing the augmented matrix [Ab, bz bz b4). a. Find A. Select the correct choice below and, if necessary, fill in the answer box to complete your choice -1 • A. The inverse matrix is A (Type an integer or simplified fraction for each matrix element.) O B. The matrix is not invertible. Solve Ax =b, (Type an integer or simplified fraction for each matrix element.) Solve Ax =b (Type an integer or simplified fraction for each matrix element.) Solve Ax = bz. (Type an integer or simplified fraction for each matrix element.) Solve Ax = b (Type an integer or simplified fraction for each matrix element.) b. Solve the four equations by row reducing the augmented matrix [A b, b, bz b4). Write the augmented matrix [A b, b, b3 b4] in reduced echelon form. (Type an integer or simplified fraction for each matrix element.)

1 ,b, 8 18 Let A= b2 , and b, a. Find A and use it solve the four equations Ax =b1, Ax = b2 Ax = b3, and Ax = b4- b. The four equations in part (a) can be solved by the same set of operations, since the coefficient matrix is the same in each case. Solve the four equations in part (a) by row reducing the augmented matrix [Ab, bz bz b4). a. Find A. Select the correct choice below and, if necessary, fill in the answer box to complete your choice -1 • A. The inverse matrix is A (Type an integer or simplified fraction for each matrix element.) O B. The matrix is not invertible. Solve Ax =b, (Type an integer or simplified fraction for each matrix element.) Solve Ax =b (Type an integer or simplified fraction for each matrix element.) Solve Ax = bz. (Type an integer or simplified fraction for each matrix element.) Solve Ax = b (Type an integer or simplified fraction for each matrix element.) b. Solve the four equations by row reducing the augmented matrix [A b, b, bz b4). Write the augmented matrix [A b, b, b3 b4] in reduced echelon form. (Type an integer or simplified fraction for each matrix element.)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...

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