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GATE CS 2022 : Engineering mathematics -2

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Question 1

Which of the following is a scalar matrix?

Question 2

The rank of the matrix

is ?

Question 3

Consider the following matrix A.

The value of x for which the matrix A is not invertible is?

Question 4

Let

and

be two matrices.
Then the rank of P + Q is ____.

Question 5

If the matrix A is such that

Then the determinant of A is equal to _______.

Question 6

Perform the following operations on the matrix

(i) Add the third row to the second row
(ii) Subtract the third column from the first column.
The determinant of the resultant matrix is ___________.

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Jun 16GATE & PSU CS