LEIA-[33]-40-[3] and B 13 Let = -2 1 38 a. Find AB, if possible. b. Find BA, if possible. c. Are the answers in parts a and b the same? d. In general, for matrices A and B such that AB and BA both exist, does AB always equal BA? A. AB= a. Find AB, if possible. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. B. The product AB cannot be found.
LEIA-[33]-40-[3] and B 13 Let = -2 1 38 a. Find AB, if possible. b. Find BA, if possible. c. Are the answers in parts a and b the same? d. In general, for matrices A and B such that AB and BA both exist, does AB always equal BA? A. AB= a. Find AB, if possible. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. B. The product AB cannot be found.
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
![LEIA-[33]-40-[3]
and B=
13
Let =
-2 1
38
a. Find AB, if possible.
b. Find BA, if possible.
c. Are the answers in parts a and b the same?
d. In general, for matrices A and B such that AB and BA both exist, does AB always equal BA?
A. AB=
a. Find AB, if possible. Select the correct choice below and, if necessary, fill in the answer boxes to complete your
choice.
B. The product AB cannot be found.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ae0660d-5301-4b30-8361-0f1bb7fa4959%2Fd504fd2a-fd8c-4a82-9e56-40fab09122c6%2Fhd3dctl_processed.png&w=3840&q=75)
Transcribed Image Text:LEIA-[33]-40-[3]
and B=
13
Let =
-2 1
38
a. Find AB, if possible.
b. Find BA, if possible.
c. Are the answers in parts a and b the same?
d. In general, for matrices A and B such that AB and BA both exist, does AB always equal BA?
A. AB=
a. Find AB, if possible. Select the correct choice below and, if necessary, fill in the answer boxes to complete your
choice.
B. The product AB cannot be found.
Expert Solution
Step 1
Matrix multiplication is possible if and only if number of columns of first matrix is equal to the rows of second matrix.
i.e
AB is possible
if and only if number of columns of matrix A is equal to the rows of matrix B.
and,
BA is possible
if and only if number of columns of matrix B is equal to the rows of matrix A.
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