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T2. Use the idea in Exercise T1 and matrix multiplication to deter- mine whether the polynomial p = 1+x+x² +x³ is in the span of p, = 8 – 2x + x² – 4x², P2 = -3 + 9x + 11x² + 6x², | P3 = 13 – x + 2x² + 4x³

T2. Use the idea in Exercise T1 and matrix multiplication to deter- mine whether the polynomial p = 1+x+x² +x³ is in the span of p, = 8 – 2x + x² – 4x², P2 = -3 + 9x + 11x² + 6x², | P3 = 13 – x + 2x² + 4x³

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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T2 please

Working with Technology T1. Recall from Theorem 1.3.1 that a product Ax can be expressed as a linear combination of the column vectors of the matrix A in which the coefficients are the entries of x. Use matrix mul- tiplication to compute v = 6(8, –2, 1, –4) + 17(–3,9, 11, 6) – 9(13, –1,2, 4) T2. Use the idea in Exercise T1 and matrix multiplication to deter- mine whether the polynomial p = 1+x+x? +x³ is in the span of P = 8 – 2x + x² – 4x', p2 = -3+ 9x + 11x² + 6x³, P3 = 13 – x + 2x² + 4x³
Transcribed Image Text:Working with Technology T1. Recall from Theorem 1.3.1 that a product Ax can be expressed as a linear combination of the column vectors of the matrix A in which the coefficients are the entries of x. Use matrix mul- tiplication to compute v = 6(8, –2, 1, –4) + 17(–3,9, 11, 6) – 9(13, –1,2, 4) T2. Use the idea in Exercise T1 and matrix multiplication to deter- mine whether the polynomial p = 1+x+x? +x³ is in the span of P = 8 – 2x + x² – 4x', p2 = -3+ 9x + 11x² + 6x³, P3 = 13 – x + 2x² + 4x³
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