b. Find a similar result involving a column of zeros. 26. In each part, find a 6 x 6 matrix [a] that satisfies the stated condition. Make your answers as general as possible by using letters rather than specific numbers for the nonzero entries. a. a = 0 if ij b. a₁j = 0 if i>j c. a₁ = 0 if i 1
b. Find a similar result involving a column of zeros. 26. In each part, find a 6 x 6 matrix [a] that satisfies the stated condition. Make your answers as general as possible by using letters rather than specific numbers for the nonzero entries. a. a = 0 if ij b. a₁j = 0 if i>j c. a₁ = 0 if i 1
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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1.3
Question 26 on paper please
![25. a. Show that if A has a row of zeros and B is any matrix for
which AB is defined, then AB also has a row of zeros.
b. Find a similar result involving a column of zeros.
26. In each part, find a 6 x 6 matrix [a] that satisfies the stated
condition. Make your answers as general as possible by using
letters rather than specific numbers for the nonzero entries.
b. a₁ = 0 if i>j
dij
a. a = 0 if ij
c. a¡j = 0
if i<j
d. a₁ = 0
Aij
if |i-j> 1
In Exercises 27-28, how many 3x3 matrices A can you find for
which the equation is satisfied for all choices of x, y, and z?
[x+y
ху
27. Ay
28. Ay
x-y
1-6
=
0
N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48922dd6-b6f8-4fac-84c6-05a7db5750f6%2Fcd6b887a-1394-4224-8255-074454295082%2Fy7kuz0e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:25. a. Show that if A has a row of zeros and B is any matrix for
which AB is defined, then AB also has a row of zeros.
b. Find a similar result involving a column of zeros.
26. In each part, find a 6 x 6 matrix [a] that satisfies the stated
condition. Make your answers as general as possible by using
letters rather than specific numbers for the nonzero entries.
b. a₁ = 0 if i>j
dij
a. a = 0 if ij
c. a¡j = 0
if i<j
d. a₁ = 0
Aij
if |i-j> 1
In Exercises 27-28, how many 3x3 matrices A can you find for
which the equation is satisfied for all choices of x, y, and z?
[x+y
ху
27. Ay
28. Ay
x-y
1-6
=
0
N
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