1 0 0 Question 11 Let E = 100 F = -2 1 0 G = -- 1 0 001 0 1 Let X be any 3 x n matrix and set Y = F-¹G²E³ X. Denote the first, second, and the third row of X by R₁, R2, and R3, respectively. Then the second row of Y is (a) -2R₁ + (1/4) R3 00 01 1 0 (b) 2R₁ + (1/4) R3 00 (c)-2R₁ (1/4) R3 (d) 2R1 + 4R3 (e) none of the above

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 52EQ
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Related questions
Question
100
Question 11 Let E =
1
0 0
0
01/10
0 1 0
001
00 1
Let X be any 3 x n matrix and set y := F-¹G²E³ X. Denote the first, second, and the third row of X by R₁, R2, and R3,
respectively. Then the second row of Y is
(a) −2R₁ + (1/4) R3
--
1
-2
(b) 2R₁ + (1/4) R3
00
1
1
0
(c) 2R₁ (1/4) R3
(d) 2R₁ +4R3
(e) none of the above
Transcribed Image Text:100 Question 11 Let E = 1 0 0 0 01/10 0 1 0 001 00 1 Let X be any 3 x n matrix and set y := F-¹G²E³ X. Denote the first, second, and the third row of X by R₁, R2, and R3, respectively. Then the second row of Y is (a) −2R₁ + (1/4) R3 -- 1 -2 (b) 2R₁ + (1/4) R3 00 1 1 0 (c) 2R₁ (1/4) R3 (d) 2R₁ +4R3 (e) none of the above
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