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,...
Related questions
Question
Please solve it
q1
![Answer each of the following as True or False
justifying your answers
[x
y
a) If 4 ₁] = 2 [2x 1 + ² [²/
21]
2, and z = 1.
[4 X
=
_*], then x = 3, y =
b) If v₁
(1,2), v₂ = (3,4), v3 = (−1,0), then u = (6,8) is a
linear combination of v₁, V2, and v3 where u = 20₁ 20₂-
V3.
c) If A² = A, Then I - 2A = (1 - 2A)-¹.
-
d) If A is n x n skew-symmetric matrix where n is an odd
integer number, then A is singular.
e) If A = [¹³₂], Then A is singular only if k = 4.
k2,
k = 1
3
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd6cfd83-a1f0-4893-aab5-856ce0c97e61%2F520dba84-f759-4956-bddc-1c3e46261112%2Foq4ixi.jpeg&w=3840&q=75)
Transcribed Image Text:Answer each of the following as True or False
justifying your answers
[x
y
a) If 4 ₁] = 2 [2x 1 + ² [²/
21]
2, and z = 1.
[4 X
=
_*], then x = 3, y =
b) If v₁
(1,2), v₂ = (3,4), v3 = (−1,0), then u = (6,8) is a
linear combination of v₁, V2, and v3 where u = 20₁ 20₂-
V3.
c) If A² = A, Then I - 2A = (1 - 2A)-¹.
-
d) If A is n x n skew-symmetric matrix where n is an odd
integer number, then A is singular.
e) If A = [¹³₂], Then A is singular only if k = 4.
k2,
k = 1
3
2
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