1
GATE PI 2005
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of the matrix $$M$$ given are $$15, 3, $$ and $$0.$$
$$M = \left[ {\matrix{ 8 & { - 6} & 2 \cr { - 6} & 7 & { - 4} \cr 2 & { - 4} & 3 \cr } } \right],$$ the value of the determinant of a matrix is
A
$$20$$
B
$$10$$
C
$$0$$
D
$$-10$$
2
GATE PI 1994
MCQ (Single Correct Answer)
+1
-0.3
The value of the following determinant $$\left[ {\matrix{ 1 & 4 & 9 \cr 4 & 9 & {16} \cr 9 & {16} & {25} \cr } } \right]$$ is
A
$$8$$
B
$$12$$
C
$$-12$$
D
$$-8$$
3
GATE PI 1994
MCQ (Single Correct Answer)
+1
-0.3
If for a matrix, rank equals both the number of rows and number of columns, then the matrix is called
A
Non-singular
B
singular
C
transpose
D
minor
4
GATE PI 1994
True or False
+1
-0
The matrix $$\left[ {\matrix{ 1 & { - 4} \cr 1 & { - 5} \cr } } \right]$$ is an inverse of the matrix $$\left[ {\matrix{ 5 & { - 4} \cr 1 & { - 1} \cr } } \right]$$
A
TRUE
B
FALSE
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