Answer each of the following as True or False justifying your answers: a) If A is a 5 x 5 skew symmetric matrix such that 5A + B" – 31 = 5(B – A)", 5 then |B| = ()". b) If A = 6 D, then D = | i,B = and C is a 2 x 1 matrix such that A-C = B and AC = 8. c) If B and C are both inverses of the matrix A, then B = C.

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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Answer each of the following as True or False justifying your answers:
a) If A is a 5 x 5 skew symmetric matrix such that 54 + B" – 315 = 5(B –- A)",
5
|B| = (:)".
b) If A = 6 ,B = and C is a 2 x 1 matrix such that A-ªC = B and AC =
then
D-
D, then
8
c) If B and C are both inverses of the matrix A, then B = C.
|1 3 x- 5|
d) If 1 0
|2 x
e) If X and Y are linearly independent vectors in R", then {0,X,Y} is linearly
independent.
then x
-1.
-2
1
Transcribed Image Text:Answer each of the following as True or False justifying your answers: a) If A is a 5 x 5 skew symmetric matrix such that 54 + B" – 315 = 5(B –- A)", 5 |B| = (:)". b) If A = 6 ,B = and C is a 2 x 1 matrix such that A-ªC = B and AC = then D- D, then 8 c) If B and C are both inverses of the matrix A, then B = C. |1 3 x- 5| d) If 1 0 |2 x e) If X and Y are linearly independent vectors in R", then {0,X,Y} is linearly independent. then x -1. -2 1
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