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Zeeshan 01

Member

Registered: 2016-07-22

Posts: 746

MCQS (Linear Algebra)

Question 1 :Evaluate i.jxk

Question 2 : The component of the curl of a vector field F=Mi+Nj at (x,y) is

Question 3: grad f

Question 4: If  A B and C are the matrices of order 2x2 and AB =AC then
                   1) B=C   2)A=B    3) A=C    4) None

Question 5 : Curl (grad f ) is
                   A) f  B) delta(rounded)  C)  0   D) None

Question 6 : If  2A+b=[1  2     and 3A+2B = [10   15    then  A and B is ?
                                   3 5 ]                         22  23

Question 7 : If pi (x,y,z) =3(x^2)y  - (y^2) * (z^2)    then delta(rounded) pi  at the point (1,-2,-1) is

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Malik

Jaspers

Member

Registered: 2019-05-24

Posts: 54

Re: MCQS (Linear Algebra)

Hi Zeeshan.

1.

2.

3.
If f is a scalar function of the vector variable r = xi+yj+zk then

4.
Hint: Suppose A is the zero matrix.

5.
What do you think the value of

might be? Hint: If f(r) is twice differentiable and all derivatives are continuous, then

where s, t ∈ {x, y, z}.

6.
If they were simultaneous linear equations, how would you go about solving them? The method for solving simultaneous linear equations can be used to solve these.

7.
Use the definition given in Question 3.

Last edited by Jaspers (2019-06-07 09:07:40)

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