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Question 7 - Week 4 Practice | Prasnya
Q7
00:00
2 Apr 2023
Q7.
Which of the following options are true?
A
If the rows of a
3
×
4
3\times4
3
×
4
matrix
A
A
A
are linearly independent, then
A
A
T
AA^T
A
A
T
is invertible.
B
If the columns of a
4
×
3
4\times3
4
×
3
matrix
A
A
A
are linearly independent, then
A
T
A
A^TA
A
T
A
is invertible.
C
If the rows of a
3
×
4
3\times4
3
×
4
matrix
A
A
A
are linearly independent, then
A
T
A
A^TA
A
T
A
is invertible.
D
If the columns of a
4
×
3
4\times3
4
×
3
matrix
A
A
A
are linearly independent, then
A
A
T
AA^T
A
A
T
is invertible.
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Check
Details
Q7
00:00
2 Apr 2023
Q7.
Which of the following options are true?
A
If the rows of a
3
×
4
3\times4
3
×
4
matrix
A
A
A
are linearly independent, then
A
A
T
AA^T
A
A
T
is invertible.
B
If the columns of a
4
×
3
4\times3
4
×
3
matrix
A
A
A
are linearly independent, then
A
T
A
A^TA
A
T
A
is invertible.
C
If the rows of a
3
×
4
3\times4
3
×
4
matrix
A
A
A
are linearly independent, then
A
T
A
A^TA
A
T
A
is invertible.
D
If the columns of a
4
×
3
4\times3
4
×
3
matrix
A
A
A
are linearly independent, then
A
A
T
AA^T
A
A
T
is invertible.
Save
Check
Details