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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Can u answer 6 and 7 . I will rate you 

1 2
6.
Let p(x)= 2a2 - 3r +3 and A
Find p(A).
0.
8.
6.
0.
-2
8 2
(a) p(A)
(b) p(A) :
(c) p(A) =
0 12
9 13
* 12
8.
-2
(d) p(A) =
0.
(e) None of these
12
a
C
d.
e
7.
Assume that two matrices
1-(:)
a
a
A =
and B =
%3D
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
(6) x = a.
(c) x = b.
(d) x = -2 or r = 2.
(e) None of these
b.
de
a
C
Transcribed Image Text:1 2 6. Let p(x)= 2a2 - 3r +3 and A Find p(A). 0. 8. 6. 0. -2 8 2 (a) p(A) (b) p(A) : (c) p(A) = 0 12 9 13 * 12 8. -2 (d) p(A) = 0. (e) None of these 12 a C d. e 7. Assume that two matrices 1-(:) a a A = and B = %3D 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 (6) x = a. (c) x = b. (d) x = -2 or r = 2. (e) None of these b. de a C
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