I. GIVEN THE FOLLOWING MATRICES -2 0 -5 A = 5 -1 3 1 4 -6 a. (5A)¹=5 (A¹) b. (8A)BA(8B) B = -5 0 2 -3 2 -6

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.5: Solve Systems Of Equations Using Matrices
Problem 4.77TI: Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 3. (b) Multiply...
icon
Related questions
Question
I. GIVEN THE FOLLOWING MATRICES
-2
0
-5
A =
a. (5A)¹ = 5 (A¹)
b. (8A)BA(8B)
5
3
4
II. Find the inverse of a matrix.
a.
2-3]
-12
b. 3x+2y=6
5x-9 y = 15
C.
-1
1
-6
12
34
X =
III. SOLVE FOR THE VALUES OF THE VARIABLES SUCH THAT
EACH OF THE FOLLOWING STATEMENTS IS TRUE
B =
a. The sum of three numbers is 12. The 1st is 5 times the 2nd. The sum of the 1st
and 3rd is 9. Find the numbers.
7
4 2
b.
-5
0
2
3x-2y+z=25
x + 3y - 2z = -12
4x - 5y-z=31
-3 2
-6
1
-1 3
2
12
-2 -2 1
IV. SOLVE THE GIVEN SETS OF LINEAR EQUATIONS BY:0
(a) Cramer's Rule
(b) Gaussian elimination method
(c) Gauss-Jordan Method
a)
Transcribed Image Text:I. GIVEN THE FOLLOWING MATRICES -2 0 -5 A = a. (5A)¹ = 5 (A¹) b. (8A)BA(8B) 5 3 4 II. Find the inverse of a matrix. a. 2-3] -12 b. 3x+2y=6 5x-9 y = 15 C. -1 1 -6 12 34 X = III. SOLVE FOR THE VALUES OF THE VARIABLES SUCH THAT EACH OF THE FOLLOWING STATEMENTS IS TRUE B = a. The sum of three numbers is 12. The 1st is 5 times the 2nd. The sum of the 1st and 3rd is 9. Find the numbers. 7 4 2 b. -5 0 2 3x-2y+z=25 x + 3y - 2z = -12 4x - 5y-z=31 -3 2 -6 1 -1 3 2 12 -2 -2 1 IV. SOLVE THE GIVEN SETS OF LINEAR EQUATIONS BY:0 (a) Cramer's Rule (b) Gaussian elimination method (c) Gauss-Jordan Method a)
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning