Let A be 2 x 2 matrix, if the matrix B results from A by adding 3 times the first row of A to the second row and the matrix C results from B by multiplying the first row of B by 4, then C = E2E¡A where %3D 1 0 E2 4 0 A) E1 %3D %3D 0 1 3 1 1 3 0 1 1 0 B) E, = 0 4 E2 = 1 0 C) E, = 4 0 %3D 3 1 0. 1 0 E2 1 3 D) E, = [ 1: %3D 04
Let A be 2 x 2 matrix, if the matrix B results from A by adding 3 times the first row of A to the second row and the matrix C results from B by multiplying the first row of B by 4, then C = E2E¡A where %3D 1 0 E2 4 0 A) E1 %3D %3D 0 1 3 1 1 3 0 1 1 0 B) E, = 0 4 E2 = 1 0 C) E, = 4 0 %3D 3 1 0. 1 0 E2 1 3 D) E, = [ 1: %3D 04
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Let A be 2 x 2 matrix, if the matrix B results from A by
adding 3 times the first row of A to the second row and the
matrix C results from B by multiplying the first row of B by
4, then C = E2E¡A where
1 0
E2
A) E, = 1
) E, = 0 4
4 0
%3D
0 1
3 1
1 3
0 1
1 0
E2 =
1 0
4 0
C) E, =
E2 =
0.
%3D
3 1
1 3
0 1
1 0
0 4
D) E, =
E2
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28292f23-fe77-498e-bec3-ba80828e5fee%2F0987b998-068d-42ec-b1a5-398ba1650316%2F72j4fkt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A be 2 x 2 matrix, if the matrix B results from A by
adding 3 times the first row of A to the second row and the
matrix C results from B by multiplying the first row of B by
4, then C = E2E¡A where
1 0
E2
A) E, = 1
) E, = 0 4
4 0
%3D
0 1
3 1
1 3
0 1
1 0
E2 =
1 0
4 0
C) E, =
E2 =
0.
%3D
3 1
1 3
0 1
1 0
0 4
D) E, =
E2
%3D
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