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A= E₁ = E₂ = Suppose that: -5 5 E3 = -4 -1 and B = Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix E, multiplies the first row of A by 1/5. 8 E₁ = -4 2-4 -5-2-2 b. The elementary matrix E, multiplies the second row of A by -2. 8 4-5 1 E₂¹ c. The elementary matrix E, switches the first and second rows of A. 188 d. The elementary matrix E, adds 3 times the first row of A to the second row of A. 86 E¹

A= E₁ = E₂ = Suppose that: -5 5 E3 = -4 -1 and B = Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix E, multiplies the first row of A by 1/5. 8 E₁ = -4 2-4 -5-2-2 b. The elementary matrix E, multiplies the second row of A by -2. 8 4-5 1 E₂¹ c. The elementary matrix E, switches the first and second rows of A. 188 d. The elementary matrix E, adds 3 times the first row of A to the second row of A. 86 E¹

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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e. The elementary matrix E, multiplies the second row of B by 1/2. 1888 Es = E = f. The elementary matrix E multiplies the third row of B by -2. 186 E E¹ = E = g. The elementary matrix E, switches the first and third rows of B. 888 Eg = E¹ E E¹ h. The elementary matrix E adds 4 times the third row of B to the second row of B. 33 "I 18 EE
Transcribed Image Text:e. The elementary matrix E, multiplies the second row of B by 1/2. 1888 Es = E = f. The elementary matrix E multiplies the third row of B by -2. 186 E E¹ = E = g. The elementary matrix E, switches the first and third rows of B. 888 Eg = E¹ E E¹ h. The elementary matrix E adds 4 times the third row of B to the second row of B. 33 "I 18 EE
A = E₁ = E₂ = Suppose that: -5 5 E3 = -4 -1 and B = Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix E₁ multiplies the first row of A by 1/5. 1884-18 E₁= -4 2-4 -5 -2 -2 b. The elementary matrix ₂ multiplies the second row of A by -2. 186 4-51 c. The elementary matrix E, switches the first and second rows of A. E₂¹ = d. The elementary matrix E4 adds 3 times the first row of A to the second row of A. E₁¹
Transcribed Image Text:A = E₁ = E₂ = Suppose that: -5 5 E3 = -4 -1 and B = Given the following descriptions, determine the following elementary matrices and their inverses. a. The elementary matrix E₁ multiplies the first row of A by 1/5. 1884-18 E₁= -4 2-4 -5 -2 -2 b. The elementary matrix ₂ multiplies the second row of A by -2. 186 4-51 c. The elementary matrix E, switches the first and second rows of A. E₂¹ = d. The elementary matrix E4 adds 3 times the first row of A to the second row of A. E₁¹
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