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Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of A consisting of all determinants with value –1. Then

C is empty

B has as many elements as C

A = B ( C

B has twice as many elements as elements as C

If A and B are square matrices of equal degree, then which one is correct among the following?

A +B =B+A

A+B =A+B

A-B =B-A

AB =BA

The parameter, on which the value of the determinant does not depend upon is

a

p

d

x

In a skew symmetric matrix, the diagonal elements are all ____.

Different from each other

Zero

One

None of the above

If I is a unit matrix, then 3I is ____.

A unit matrix

A triangular matrix

A scalar matrix

None of the above

Given 2x –y +2z =2, x –2y +z =-4, x+ y +(z =4 then the value of ( such that the given system of equation has NO solution, is

3

1

0

-3

If the system of equations x-ky-z =0, kx-y-z =0, x+y-z =0 has a non-zero solution, then the possible values of k are

-1,2

1,2

0,1

-1,1

C is empty

B has as many elements as C

A = B ( C

B has twice as many elements as elements as C

If A and B are square matrices of equal degree, then which one is correct among the following?

A +B =B+A

A+B =A+B

A-B =B-A

AB =BA

The parameter, on which the value of the determinant does not depend upon is

a

p

d

x

In a skew symmetric matrix, the diagonal elements are all ____.

Different from each other

Zero

One

None of the above

If I is a unit matrix, then 3I is ____.

A unit matrix

A triangular matrix

A scalar matrix

None of the above

Given 2x –y +2z =2, x –2y +z =-4, x+ y +(z =4 then the value of ( such that the given system of equation has NO solution, is

3

1

0

-3

If the system of equations x-ky-z =0, kx-y-z =0, x+y-z =0 has a non-zero solution, then the possible values of k are

-1,2

1,2

0,1

-1,1

Some simple questions on matrices and determinants

ek prakshepya ko starting velocity i+2j diya jata hai. eske path ka kartiya equation kya hoga if g=10m/s.s

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