The figure to the right shows the letter L in a rectangular coordinate system. The figure can be represented by the matrix B, shown to the right. Each column in the matrix describes a point on the letter. The order of the columns shows the direction in which a pencil must move to draw the letter. The L is completed by connecting the last point in the matrix, (0,9), to the starting point, (0,0). Use these ideas to complete parts (a) and (b) below. a. If A= -10 find AB. AB= (Simplify your answer.) b. Graph the object represented by matrix AB. What effect does the matrix multiplication have on the letter L represented by matrix B? Choose the correct graph below. O A. OB. Q Rotates the letter L about the origin. D Reflects the letter L across the x-axis. O C. B= 077110 00119 Reflects the letter L across the y-axis.
The figure to the right shows the letter L in a rectangular coordinate system. The figure can be represented by the matrix B, shown to the right. Each column in the matrix describes a point on the letter. The order of the columns shows the direction in which a pencil must move to draw the letter. The L is completed by connecting the last point in the matrix, (0,9), to the starting point, (0,0). Use these ideas to complete parts (a) and (b) below. a. If A= -10 find AB. AB= (Simplify your answer.) b. Graph the object represented by matrix AB. What effect does the matrix multiplication have on the letter L represented by matrix B? Choose the correct graph below. O A. OB. Q Rotates the letter L about the origin. D Reflects the letter L across the x-axis. O C. B= 077110 00119 Reflects the letter L across the y-axis.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The figure to the right shows the letter L in a rectangular coordinate system. The figure can be represented by the matrix B, shown to the right. Each column in the matrix describes a point on the
letter. The order of the columns shows the direction in which a pencil must move to draw the letter. The L is completed by connecting the last point in the matrix, (0,9), to the starting point, (0,0). Use
these ideas to complete parts (a) and (b) below.
a. If A =
AB
- 1 0
[!!]
0 1
find AB.
(Simplify your answer.)
b. Graph the object represented by matrix AB. What effect does the matrix multiplication have on the letter L represented by matrix B? Choose the correct graph below.
A.
O B.
Rotates the letter L about the origin.
Reflects the letter L across the x-axis.
O C.
Q
077 11 0
B-[07718]
001 199
B=
Reflects the letter L across the y-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55f59351-6cab-453e-87b8-764174a74643%2Ff51e7efe-e866-4a5b-aa9d-e572286a4632%2Ff9dy2mq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The figure to the right shows the letter L in a rectangular coordinate system. The figure can be represented by the matrix B, shown to the right. Each column in the matrix describes a point on the
letter. The order of the columns shows the direction in which a pencil must move to draw the letter. The L is completed by connecting the last point in the matrix, (0,9), to the starting point, (0,0). Use
these ideas to complete parts (a) and (b) below.
a. If A =
AB
- 1 0
[!!]
0 1
find AB.
(Simplify your answer.)
b. Graph the object represented by matrix AB. What effect does the matrix multiplication have on the letter L represented by matrix B? Choose the correct graph below.
A.
O B.
Rotates the letter L about the origin.
Reflects the letter L across the x-axis.
O C.
Q
077 11 0
B-[07718]
001 199
B=
Reflects the letter L across the y-axis.
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