Question 39 - Week 8 Practice | Prasnya
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Week 8
Field
IITM-DS
Exam
Quiz 2
Subject
Mathematics 2
Week
Week 8
Question 39 of 43
Practice question
00:00
Est. 2 min
Marks
+2.00
0.00
Question
Choose the correct options.
Multiple correct
Medium Difficulty
10 July 2022
A
The row reduced echelon form of an
n
×
n
n\times n
orthogonal matrix is the identity matrix of order
n
n
.
B
Suppose
A
A
is a non-zero
n
×
n
n\times n
matrix whose columns are mutually orthonormal in
R
n
\mathbb{R}^n
. Then
A
T
A
=
I
A^TA=I
.
C
The trace of an
n
×
n
n\times n
orthogonal matrix is
0
0
.
D
Suppose
A
A
is a non-zero
m
×
n
m\times n
matrix whose columns are mutually orthogonal in
R
m
\mathbb{R}^m
. Then
A
A
T
AA^T
is a diagonal matrix of order
m
m
.
