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4. Consider w =< 1,2, 3 > and v =< 0,1,1 >. (a) Write z =< 2, 5, 7 > as a linear combination of w and v. (1 2 3 (b) Consider the matrix A = 0 1 1). Based on your work in the previous question, explain, 2 5 7 without computation, why the determinant of A is zero. (c) Find a vector that is linearly dependent with v.

4. Consider w =< 1,2, 3 > and v =< 0,1,1 >. (a) Write z =< 2, 5, 7 > as a linear combination of w and v. (1 2 3 (b) Consider the matrix A = 0 1 1). Based on your work in the previous question, explain, 2 5 7 without computation, why the determinant of A is zero. (c) Find a vector that is linearly dependent with v.

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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4. Consider w =< 1,2, 3 > and v =< 0,1,1 >. (a) Write z =< 2, 5, 7 > as a linear combination of w and v. (1 2 3 (b) Consider the matrix A = 0 1 1). Based on your work in the previous question, explain, 2 5 7 without computation, why the determinant of A is zero. (c) Find a vector that is linearly dependent with v.
Transcribed Image Text:4. Consider w =< 1,2, 3 > and v =< 0,1,1 >. (a) Write z =< 2, 5, 7 > as a linear combination of w and v. (1 2 3 (b) Consider the matrix A = 0 1 1). Based on your work in the previous question, explain, 2 5 7 without computation, why the determinant of A is zero. (c) Find a vector that is linearly dependent with v.
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