1
GATE CE 1998
MCQ (Single Correct Answer)
+1
-0.3
If $$A$$ is a real square matrix then $$A{A^T}$$ is
A
un symmetric
B
always symmetric
C
skew - symmetric
D
some times symmetric
2
GATE CE 1998
MCQ (Single Correct Answer)
+1
-0.3
The real symmetric matrix $$C$$ corresponding to the quadratic form $$Q = 4{x_1}{x_2} - 5{x_2}{x_2}$$ is
A
$$\left[ {\matrix{ 1 & 2 \cr 2 & { - 5} \cr } } \right]$$
B
$$\left[ {\matrix{ 2 & 0 \cr 0 & { - 5} \cr } } \right]$$
C
$$\left[ {\matrix{ 1 & 1 \cr 1 & { - 2} \cr } } \right]$$
D
$$\left[ {\matrix{ 0 & 2 \cr 2 & { - 5} \cr } } \right]$$
3
GATE CE 1998
Subjective
+1
-0
Obtain the eigen values and eigen vectors of $$A = \left[ {\matrix{ 8 & -4 \cr 2 & { 2 } \cr } } \right].$$
4
GATE CE 1997
MCQ (Single Correct Answer)
+1
-0.3
If $$A$$ and $$B$$ are two matrices and $$AB$$ exists then $$BA$$ exists,
A
only if $$A$$ has as many rows as $$B$$ has columns
B
only if both $$A$$ and $$B$$ are square matrices
C
only if $$A$$ and $$B$$ are skew matrices
D
only if both $$A$$ and $$B$$ are symmetric
GATE CE Subjects
Fluid Mechanics and Hydraulic Machines
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12