More Matr - Susan purchased 3 CDs, 4 DVDs and 2 cassettes from a music store. Each CD cost $15, each DVD cost $18 and each cassette cost $9. The matrix product that will give the total amount of money she spent is [3][15]
More Matr - Susan purchased 3 CDs, 4 DVDs and 2 cassettes from a music store. Each CD cost $15, each DVD cost $18 and each cassette cost $9. The matrix product that will give the total amount of money she spent is [3][15]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![More Matrices Questions
1
Susan purchased 3 CDs, 4 DVDs and 2 cassettes from a music store. Each CD cost $15, each
DVD cost $18 and each cassette cost $9. The matrix product that will give the total amount of
money she spent is
3
A.
B.
C.
D. [3 4 2] 18
9
E.
A.
[3][15]
4 18
2 9
3
4 [15 18 9]
2
[3 0 015 0 0]
0 4 0 0 18 0
0 0 2009
[15]
[213-1]
2 For the matrix 4 = 4 2 3-3, it is not true that
3 3 3 4
B.
C.
D.
E.
15
#
18 [3 4 2]
element 42,4 has a unique value.
A2.1+A3,2 = 7
A2.2 is a 2 x 2 matrix.
A4.3 is undefined.
A2,2-A3,2 = -1
A is a matrix with order 2 x 3. C is a matrix with order mx 4
If ABC then B must have order
A.
B.
C.
3x4
2×4
2 x 3
D.
3×3
E. 4×2
18 | Page](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2ad6f6b-c489-48ba-b53b-a9acb582a8af%2F0b4616f8-8473-48a6-ba6a-db6dd333a524%2F5wk7xy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:More Matrices Questions
1
Susan purchased 3 CDs, 4 DVDs and 2 cassettes from a music store. Each CD cost $15, each
DVD cost $18 and each cassette cost $9. The matrix product that will give the total amount of
money she spent is
3
A.
B.
C.
D. [3 4 2] 18
9
E.
A.
[3][15]
4 18
2 9
3
4 [15 18 9]
2
[3 0 015 0 0]
0 4 0 0 18 0
0 0 2009
[15]
[213-1]
2 For the matrix 4 = 4 2 3-3, it is not true that
3 3 3 4
B.
C.
D.
E.
15
#
18 [3 4 2]
element 42,4 has a unique value.
A2.1+A3,2 = 7
A2.2 is a 2 x 2 matrix.
A4.3 is undefined.
A2,2-A3,2 = -1
A is a matrix with order 2 x 3. C is a matrix with order mx 4
If ABC then B must have order
A.
B.
C.
3x4
2×4
2 x 3
D.
3×3
E. 4×2
18 | Page
![Power Matrices
Only square matrices can be raised to a power.
The answer to any power (A², A³ etc) will have the same dimensions as the original matrix.
Example 25
If A =
A² = AX A
A³ = AX AX A
-1 1
0 1
[2 -1] - 8 = [ 2₁ ] and C=[; }]
B
a 24 +8²-20
determine:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2ad6f6b-c489-48ba-b53b-a9acb582a8af%2F0b4616f8-8473-48a6-ba6a-db6dd333a524%2Fuuhv1g7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Power Matrices
Only square matrices can be raised to a power.
The answer to any power (A², A³ etc) will have the same dimensions as the original matrix.
Example 25
If A =
A² = AX A
A³ = AX AX A
-1 1
0 1
[2 -1] - 8 = [ 2₁ ] and C=[; }]
B
a 24 +8²-20
determine:
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