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Byju's Answer
Standard XII
Mathematics
Scalar Multiplication of a Matrix
The transpose...
Question
The transpose of a column matrix is
A
zero matrix
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B
diagonal matrix
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C
column matrix
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D
row matrix
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Solution
The correct option is
D
row matrix
A column matrix is an
m
×
1
matrix i,e. matrix consist of a single column of m elements.
Then the transpose the column matrix is row matrix and visa versa.
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Q.
Fill in the blank:
The transpose of a column matrix is a _____.
Q.
The transpose of a row matrix is
Q.
The transpose of a rectangular matrix is a
Q.
The product of a matrix and its transpose is an identity matrix. The value of determinant of this matrix is
Q.
If
P
is a
3
×
3
matrix such that
P
T
=
2
P
+
I
, where
P
T
' is the transpose of
P
and
I
is the
3
×
3
identity matrix, then there exists a column matrix
X
=
⎡
⎢
⎣
x
y
z
⎤
⎥
⎦
≠
⎡
⎢
⎣
0
0
0
⎤
⎥
⎦
such that
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