(1.3)Questions 13 ans 15 on paper please 201- 3x₂ + 4x3 =1- 4x₂ + x3 =0X1+ x3 =5In each part of Exercises 13-14, express the matrix equation as a sys-tem of linear equations.56 -7 X₁13. a.-23=04-1 X₂38-338-8214. a.437= -1-2 15-2011-20 2X0b.11-y-25 16. ZIn Exercises 15-16, find all values of k, if any, that satisfy theequation.11 0 k02= 015. [k 1 1 102-312 01 20 316. [2 2 k 22=00 3 1In Exercises 17-20, use the column-row expansion of AB to expressthis product as a sum of matrix products.4-30 117. A ==B =2-11311b. 2 35 -33J353 14 7-2a-24.3d +25. a. ShWb. F26. In econlett-a.C.In Exewhich27. A29. A30.

Note: Since you have posted more than one question, we will only solve first part for you. Kindly…

Answered: In each part of Exercises 13-14,…

In each part of Exercises 13-14, express the matrix equation as a sys- tem of linear equations. 5 6 -71 X1 13. a. -2 3 X₂ 0 4 1 1 3 -3 -1 0 [1 b. 2 5 167 -6 Z. 2 2 -9 25 2

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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Question

(1.3) Questions 13 ans 15 on paper please

201
- 3x₂ + 4x3 =
1
- 4x₂ + x3 =
0
X1
+ x3 =
5
In each part of Exercises 13-14, express the matrix equation as a sys-
tem of linear equations.
5
6 -7 X₁
13. a.
-2
3
=
0
4
-1 X₂
38-3
38-8
2
14. a.
4
3
7
= -1
-2 1
5
-2
0
11
-2
0 2
X
0
b.
11-
y
-2
5 1
6. Z
In Exercises 15-16, find all values of k, if any, that satisfy the
equation.
1
1 0 k
0
2
= 0
15. [k 1 1 1
0
2
-3
1
2 01 2
0 3
16. [2 2 k 2
2=0
0 3 1
In Exercises 17-20, use the column-row expansion of AB to express
this product as a sum of matrix products.
4
-3
0 1
17. A =
=
B =
2
-1
1
3
1
1
b. 2 3
5 -3
3
J
35
3 1
4 7
-2
a-
24.
3d +
25. a. Sh
W
b. F
26. In e
con
lett-
a.
C.
In Exe
which
27. A
29. A
30.

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