Let A = x+y 2+2 2 4 x+y 0 2 4 Y for the matrix B= y - x X 0 -1 I. B is a skew-symmetric matrix. II.B2 is a symmetric matrix. III. Tr(B) = -18. O A. Only I O B. I and II O C. I and III O D. II and II O E. I, II and III be a symmetric matrix. Which of the following statement(s) are correct 1 Y

Let A = x+y 2+2 2 4 x+y 0 2 4 Y for the matrix B= y - x X 0 -1 I. B is a skew-symmetric matrix. II.B2 is a symmetric matrix. III. Tr(B) = -18. O A. Only I O B. I and II O C. I and III O D. II and II O E. I, II and III be a symmetric matrix. Which of the following statement(s) are correct 1 Y

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 86E

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Question

Let A =
0 x+y 2+2
x
12
4 x + y
N
4
y
for the matrix B= y- X
O A. Only I
O B. I and II
O C. I and III
O D. II and II
O E. I, II and III
be a symmetric matrix. Which of the following statement(s) are correct
X
0
-1
I. B is a skew-symmetric matrix.
II.B2 is a symmetric matrix.
III. Tr(B) = -18.
1
y

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