5 5 --⠀ and B = -2 -1 A = E₁ Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix ₁ multiplies the first row of A by 1/3. ‚E₁¹ = = = E₂ 3 -3 -5 4 3 1 = 4 35 b. The elementary matrix E2 multiplies the second row of A by -6. E₂¹ = B =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 52PS
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5 5
--⠀
and B =
-2 -1
A =
E₁
Given the following descriptions, determine the following elementary matrices and their
inverses.
a. The elementary matrix E₁ multiplies the first row of A by 1/3.
=
E₂
3 -3 -5
4 3 1
=
4 35
b. The elementary matrix E2 multiplies the second row of A by -6.
‚E₁¹ =
=
E₂¹
=
B
=
Transcribed Image Text:5 5 --⠀ and B = -2 -1 A = E₁ Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix E₁ multiplies the first row of A by 1/3. = E₂ 3 -3 -5 4 3 1 = 4 35 b. The elementary matrix E2 multiplies the second row of A by -6. ‚E₁¹ = = E₂¹ = B =
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