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Byju's Answer
Standard XIII
Mathematics
Triangular Matrix
If [ 1 0 0 0;...
Question
If
⎡
⎢ ⎢ ⎢
⎣
1
0
0
0
2
3
0
0
4
5
6
0
7
8
9
10
⎤
⎥ ⎥ ⎥
⎦
, then A is
A
An upper triangular matrix
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B
A null matrix
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C
A lower triangular matrix
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D
None of these
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Solution
The correct option is
C
A lower triangular matrix
Since a square matrix A whose elements
a
i
j
=
0
for i < j. Then A
is the lower triangular matrix
.
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Similar questions
Q.
If
⎡
⎢ ⎢ ⎢
⎣
1
0
0
0
2
3
0
0
4
5
6
0
7
8
9
10
⎤
⎥ ⎥ ⎥
⎦
, then A is
Q.
"If A is true, then B is false", is logically equivalent to which of the following?
I. If A is false, then B is true.
II. If B is false, then A is true.
III. If B is true, then A is false
Q.
Statement - 1 : if
|
A
|
=
±
1
, then the matrix
A
is orthogonal matrix.
Statement - 2 : If
A
is orthogonal matrix then if
|
A
|
=
±
1
Q.
The contrapositive statement of the statement "If
x
is prime number, then
x
is odd" is
Q.
If
A
is a square matrix, then
A
is symmetric if
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