Let A= ----12----0--0--2 a. Find A and use it solve the four equations Axb,. Ax=by Ax=by, and Axb 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, b₂ by bel a. Find A¹. Select the correct choice below and, if necessary, fill in the answer box to complete your choice 6 The inverse matrix is A 51 2 2 (Type an integer or simplified fraction for each matrix element.) B. The matrix is not invertible. Solve Ax = b₁- x= (Type an integer or simplified fraction for each matrix element.) Solve Ax = b₂ x= 9 -3 (Type an integer or simplified fraction for each matrix element.) Solve Ax = b3 x= (Type an integer or simplified fraction for each matrix element.) Solve Ax=b4 (Type an integer or simplified fraction for each matrix element.) b. Solve the four equations by row reducing the augmented matrix [A b, b₂ b3 b4]. Write the augmented matrix [A b, b₂ b3 b4] in reduced echelon form. (Type an integer or simplified fraction for each matrix element.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.3: Multiplication Of Matrices
Problem 38E: Let A=[1235], X=[x1x2] and B=[412], Show that the equation AX=B represents a linear system of two...
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Please solve the one circled in RED. I figured out the other, but seem to be making mistakes for the one circled in red. Please show all work.

1
Let A=
b₁
6
by
and ba
22
a. Find A and use it solve the four equations Ax b₁. Ax by Axby, 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, b₂ by b₁l
a. Find A 1. Select the correct choice below and, if necessary, fill in the answer box to complete your choice
6-1
The inverse matrix is A
5 1
2 2
(Type an integer or simplified fraction for each matrix element.)
OB. The matrix is not invertible.
Solve Ax = b₁
x=
-9
(Type an integer or simplified fraction for each matrix element.)
Solve Ax = b₂-
x=
-3
(Type an integer or simplified fraction for each matrix element.)
Solve Ax = b3
x=
(Type an integer or simplified fraction for each matrix element.)
Solve Ax=b4-
|
x=
14
(Type an integer or simplified fraction for each matrix element.)
b. Solve the four equations by row reducing the augmented matrix [A b, b₂ b3 b4]. Write the augmented matrix [A b₁ b₂ b3 b4] in reduced echelon form.
(Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:1 Let A= b₁ 6 by and ba 22 a. Find A and use it solve the four equations Ax b₁. Ax by Axby, 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, b₂ by b₁l a. Find A 1. Select the correct choice below and, if necessary, fill in the answer box to complete your choice 6-1 The inverse matrix is A 5 1 2 2 (Type an integer or simplified fraction for each matrix element.) OB. The matrix is not invertible. Solve Ax = b₁ x= -9 (Type an integer or simplified fraction for each matrix element.) Solve Ax = b₂- x= -3 (Type an integer or simplified fraction for each matrix element.) Solve Ax = b3 x= (Type an integer or simplified fraction for each matrix element.) Solve Ax=b4- | x= 14 (Type an integer or simplified fraction for each matrix element.) b. Solve the four equations by row reducing the augmented matrix [A b, b₂ b3 b4]. Write the augmented matrix [A b₁ b₂ b3 b4] in reduced echelon form. (Type an integer or simplified fraction for each matrix element.)
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