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as a polynomial in powers of (x - 1). p(x) = (x - 1)³+ (x - 1)²+ (x - 1)+ p(x) = -4x³ + 16x² - 24x + 13 1

as a polynomial in powers of (x - 1). p(x) = (x - 1)³+ (x - 1)²+ (x - 1)+ p(x) = -4x³ + 16x² - 24x + 13 1

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please answer the 3 questions (1, 2, 3) by stating the answer for the empty boxes with solution.

Expand the polynomial as a polynomial in powers of (x - 1). p(x) = (x - 1)³+ Let A be a 3 x 4 matrix with null space being the span of The reduced row echelon form of A is 0 0 0 0 0 0 。。。 0 0 0 0 [1 X1 X3 0x₁ 3x2+ -5xịt Let A = Let X = M₂ = x2 x₁ + 0x₂+ x3 + x₂ + 0x3+ 0 1 x3 1 0 Then AX = XA if and only if X₁, X2, X3, X4 satisfies the following system of linear equations: X4 = 0 The set of 2 x 2 matrices X satisfying is the span of {M₁, M₂), where M₁ = X4 = 0 3x4 = 0 (x − 1)²+ (x - 1)+ 10 AX = XA p(x) = −4x³ + 16x² − 24x + 13 1 2
Transcribed Image Text:Expand the polynomial as a polynomial in powers of (x - 1). p(x) = (x - 1)³+ Let A be a 3 x 4 matrix with null space being the span of The reduced row echelon form of A is 0 0 0 0 0 0 。。。 0 0 0 0 [1 X1 X3 0x₁ 3x2+ -5xịt Let A = Let X = M₂ = x2 x₁ + 0x₂+ x3 + x₂ + 0x3+ 0 1 x3 1 0 Then AX = XA if and only if X₁, X2, X3, X4 satisfies the following system of linear equations: X4 = 0 The set of 2 x 2 matrices X satisfying is the span of {M₁, M₂), where M₁ = X4 = 0 3x4 = 0 (x − 1)²+ (x - 1)+ 10 AX = XA p(x) = −4x³ + 16x² − 24x + 13 1 2
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