) Given two the following matrices: 3 -5 2 4 2 A ^ = 1/²3 -3 -1 7 1 -2 -6; B = -1 -5 4 m -5 -4 1- 1 7 -1 -6 m 5 -28 -9] a) Find the elements belong to the first column of the matrix -2AB. b) Use the Cramer's rule to solve the system of linear equations with A is its augmented matrix. (The last column is unrestrained coefficients column). c) Determine the values of m to the matrix B is invertible.

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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ALPHA
x2
abs rC
зур
A =
Given two the following matrices:
3
-5
2
2
-5
-3-1
1
-5
7
-2-6
4
m
B =
-4
1 -21
1 7
-1 -6
4 -2 8 -9]
ܕ ܟ
a) Find the elements belong to the first column of the matrix -2AB.
b) Use the Cramer's rule to solve the system of linear equations with A is its augmented
matrix. (The last column is unrestrained coefficients column).
c) Determine the values of m to the matrix B is invertible.
Transcribed Image Text:ALPHA x2 abs rC зур A = Given two the following matrices: 3 -5 2 2 -5 -3-1 1 -5 7 -2-6 4 m B = -4 1 -21 1 7 -1 -6 4 -2 8 -9] ܕ ܟ a) Find the elements belong to the first column of the matrix -2AB. b) Use the Cramer's rule to solve the system of linear equations with A is its augmented matrix. (The last column is unrestrained coefficients column). c) Determine the values of m to the matrix B is invertible.
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