2. Let p(r) 2r-3r +3 and A = Find p(A). 6. %3D 8 6. 0. (b) p(A) = -2 8 2. (a) p(A) = (c) p(A) = %3D %3D 0. 12 13 12 8. (d) p(A) = -2 (e) None of these 12 a b. 7. Assume that two matrices -(::) m -(:) a A = b. and B = -b x satisfy tr(AB) = 8, where a, b E R are real numbers and tr(AB) is the trace of AB. Find all x in R. %3D (a) x = 2 (b) x= a. (c) z = b. (d) x = -2 or r = 2. (e) None of these a e
2. Let p(r) 2r-3r +3 and A = Find p(A). 6. %3D 8 6. 0. (b) p(A) = -2 8 2. (a) p(A) = (c) p(A) = %3D %3D 0. 12 13 12 8. (d) p(A) = -2 (e) None of these 12 a b. 7. Assume that two matrices -(::) m -(:) a A = b. and B = -b x satisfy tr(AB) = 8, where a, b E R are real numbers and tr(AB) is the trace of AB. Find all x in R. %3D (a) x = 2 (b) x= a. (c) z = b. (d) x = -2 or r = 2. (e) None of these a e
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 63EQ
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