GATE PI 2011 | Linear Algebra Question 7 | Engineering Mathematics

If a matrix $$A = \left[ {\matrix{ 2 & 4 \cr 1 & 3 \cr } } \right]$$ and matrix $$B = \left[ {\matrix{ 4 & 6 \cr 5 & 9 \cr } } \right]$$ the transpose of product of these two matrices i.e., $${\left( {AB} \right)^T}$$ is equal to

$$\left[ {\matrix{ {28} & {19} \cr {34} & {47} \cr } } \right]$$

$$\left[ {\matrix{ {19} & {34} \cr {47} & {28} \cr } } \right]$$

$$\left[ {\matrix{ {48} & {33} \cr {28} & {19} \cr } } \right]$$

$$\left[ {\matrix{ {28} & {19} \cr {48} & {33} \cr } } \right]$$

GATE PI 2009

MCQ (Single Correct Answer)

-0.6

The value of $${x_3}$$ obtained by solving the following system of linear equations is $$${x_1} + 2{x_2} - 2{x_3} = 4$$$ $$$2{x_1} + {x_2} + {x_3} = - 2$$$ $$$ - {x_1} + {x_2} - {x_3} = 2$$$

$$-12$$

$$-2$$

$$0$$

$$12$$

GATE PI 2008

MCQ (Single Correct Answer)

-0.6

The eigen vector pair of the matrix $$\left[ {\matrix{ 3 & 4 \cr 4 & { - 3} \cr } } \right]$$ is

$$\left[ {\matrix{ 2 \cr 1 \cr } } \right]\left[ {\matrix{ 1 \cr { - 2} \cr } } \right]$$

$$\left[ {\matrix{ 2 \cr 1 \cr } } \right]\left[ {\matrix{ 1 \cr 2 \cr } } \right]$$

$$\left[ {\matrix{ { - 2} \cr 1 \cr } } \right]\left[ {\matrix{ 1 \cr { - 2} \cr } } \right]$$

$$\left[ {\matrix{ { - 2} \cr 1 \cr } } \right]\left[ {\matrix{ 1 \cr 2 \cr } } \right]$$

GATE PI 2008

MCQ (Single Correct Answer)

-0.6

The inverse of matrix $$\left[ {\matrix{ 0 & 1 & 0 \cr 1 & 0 & 0 \cr 0 & 0 & 1 \cr } } \right]$$ is

$$\left[ {\matrix{ 0 & 1 & 0 \cr 1 & 0 & 0 \cr 0 & 0 & 1 \cr } } \right]$$

$$\left[ {\matrix{ 0 & { - 1} & 0 \cr { - 1} & 0 & 0 \cr 0 & 0 & { - 1} \cr } } \right]$$

$$\left[ {\matrix{ 0 & 1 & 0 \cr 0 & 0 & 1 \cr 1 & 0 & 0 \cr } } \right]$$

$$\left[ {\matrix{ 0 & { - 1} & 0 \cr 0 & 0 & { - 1} \cr { - 1} & 0 & 0 \cr } } \right]$$

Questions Asked from Marks 2

GATE PI 2012 (1) GATE PI 2011 (1) GATE PI 2009 (1) GATE PI 2008 (2)

GATE PI Subjects

Fluid Mechanics

Metrology

Theory of Machines

Engineering Mathematics

Heat Transfer

Machine Tools and Machining

Industrial Engineering

Engineering Mechanics

Strength of Materials

Thermodynamics

Machine Design

Casting

Joining of Materials

Metal Forming