1 00 0 2 <-5 0 21. 0 0 0 4 22. -3 -4 -3 4 0 0 0 1 -2 1 3 0 3 8 -5, In Exercises 23-24, find the diagonal entries of AB by inspection. [3 2 6 -1 27 23. A = 0 1 -2 B = 053 0 0 -1 006 rc 200 -1 -6 به یک

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 11AEXP
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1.7 question 22 and 23 on paper please thanks a lot
30
7
1
18. a.
X
b.
X
X
3
In Exercises 19-22, determine by inspection whether the matrix is
invertible.
TO 6
-17
19.
-1
0
4
-4
20.
0
0
0
-2
5
1
0
0
0
0
0
2
-5
21.
0
0
-1
0
0
4
-3
22.
4
0
-6
0
0
36. Find
1
-2 1 3.
0 3
8
-5]
A²-
37. Let A
In Exercises 23-24, find the diagonal entries of AB by inspection.
metri
[3 2 6
-1 2 7
a. a
23. A =
^ =
1
-2
B =
0 53
c. a
0 0
-1
0 0
6
38. On t
eral
4 0 01
6
0 0
whe
24. A =
-2
0
0
5 0
1
B =
26
39. Fine
-3
0
7
In Exercises 25-26, find all values of the unknown constant(s) for
which A is symmetric.
40. If t
4
alc
25. A =
[a+s
the
an
2
a- - 2b +2c 2a+b+c]
St
ana+cont of mellouse
5
26. A = 3
7
-2
balne St
0
In
in 27-28, find all values of x for which A is invertible.
9
4
-3
+xx
351X
ii
0
0
2
-3
-4
0
23
0
21
-7
rem 1.7.1
34. Let A b
a. Show
b. Sho
35. Verify
a. A:
0
Transcribed Image Text:30 7 1 18. a. X b. X X 3 In Exercises 19-22, determine by inspection whether the matrix is invertible. TO 6 -17 19. -1 0 4 -4 20. 0 0 0 -2 5 1 0 0 0 0 0 2 -5 21. 0 0 -1 0 0 4 -3 22. 4 0 -6 0 0 36. Find 1 -2 1 3. 0 3 8 -5] A²- 37. Let A In Exercises 23-24, find the diagonal entries of AB by inspection. metri [3 2 6 -1 2 7 a. a 23. A = ^ = 1 -2 B = 0 53 c. a 0 0 -1 0 0 6 38. On t eral 4 0 01 6 0 0 whe 24. A = -2 0 0 5 0 1 B = 26 39. Fine -3 0 7 In Exercises 25-26, find all values of the unknown constant(s) for which A is symmetric. 40. If t 4 alc 25. A = [a+s the an 2 a- - 2b +2c 2a+b+c] St ana+cont of mellouse 5 26. A = 3 7 -2 balne St 0 In in 27-28, find all values of x for which A is invertible. 9 4 -3 +xx 351X ii 0 0 2 -3 -4 0 23 0 21 -7 rem 1.7.1 34. Let A b a. Show b. Sho 35. Verify a. A: 0
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