Question 3. a. Use Cramer's rule solve the following system for x and y b. Let A - ( ₁ = 4 1 x - 2 x + 2y 2x - 3y = 1 = 2 0 (19) 0 Solve the following equation for x : det (3A - I) = 0, Where I = c. Consider a general m x n matrix Amxn. What relation must m and n satisfy for the matrix to be invertible ? What condition must the determinant of A also satisfy for the matrix to be invertibl

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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please solve part b

Question 3.
a. Use Cramer's rule solve the following system for x and y
b. Let A =
4
(1 2²₂)
x-2
x + 2y
2x - 3y
= 1
= 2
0
(1)
0
Solve the following equation for x : det (3A - I) = 0, Where I =
c. Consider a general m x n matrix Amxn.
What relation must m and n satisfy for the matrix to be invertible ?
What condition must the determinant of A also satisfy for the matrix to be invertible ?
Transcribed Image Text:Question 3. a. Use Cramer's rule solve the following system for x and y b. Let A = 4 (1 2²₂) x-2 x + 2y 2x - 3y = 1 = 2 0 (1) 0 Solve the following equation for x : det (3A - I) = 0, Where I = c. Consider a general m x n matrix Amxn. What relation must m and n satisfy for the matrix to be invertible ? What condition must the determinant of A also satisfy for the matrix to be invertible ?
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