Explore topic-wise MCQs in Linear Algebra.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Linear Algebra knowledge and support exam preparation. Choose a topic below to get started.

1.

What is the volume of a cube with side a?

A. ( frac{a^3}{8} )
B. (a^2 )
C. (a^3 )
D. ( frac{a2}{4} )
Answer» D. ( frac{a2}{4} )
Discussion
2.

Evaluate ( int_0^1 int_0^{ sqrt{1-x^2}} int_0^{ sqrt{1-x^2-y^2}}xyzdxdydz. )

A. ( frac{1}{6} )
B. ( frac{1}{12} )
C. ( frac{1}{24} )
D. ( frac{1}{48} )
Answer» D. ( frac{1}{48} )
Discussion
3.

Evaluate ( int_{-1}^1 int_0^z int_{x-z}^{x+z}(x+y+z)dxdydz. )

A. 0
B. 1
C. 2
D. 3
Answer» B. 1
Discussion
4.

To find volume _________________ can be used.

A. single integration
B. double integration
C. triple integration
D. double & triple integration
Answer» E.
Discussion
5.

In multiple integrals, if the limits depends on variable, then the order of integration can be anything.

A. True
B. False
Answer» C.
Discussion
6.

Using polar coordinates, find the volume of the cylinder with radius a and height h.

A. ( a^2h )
B. ( frac{ a^2h}{3} )
C. (2 frac{ a^2h}{3} )
D. ( 4 frac{ a^2h}{3} )
Answer» B. ( frac{ a^2h}{3} )
Discussion
7.

Find the volume of sphere by triple integration.

A. (8a^3 frac{ }{3} )
B. (4a^3 frac{ }{3} )
C. (2a^3 frac{ }{3} )
D. (a^3 frac{ }{3} )
Answer» C. (2a^3 frac{ }{3} )
Discussion
8.

Find the volume of the cylinder bounded by x2+y2 = 4, y+z = 4 and z=0.

A. (16 - frac{32}{3} )
B. (32 - frac{32}{3} )
C. (16-32 frac{ }{3} )
D. (32-32 frac{ }{3} )
Answer» B. (32 - frac{32}{3} )
Discussion
9.

Evaluate z2 dxdydz taken over the volume bounded by the surfaces x2+y2=a2, x2+y2=z and z=0.

A. ( pi frac{a^8}{12} )
B. ( pi frac{a^8}{4} )
C. ( pi frac{a^4}{4} )
D. ( pi frac{a^8}{8} )
Answer» B. ( pi frac{a^8}{4} )
Discussion
10.

Find the value of ( int_0^1 int_0^2 int_1^2 xy^2 z^3 dxdydz. ).

A. 2
B. 3
C. 4
D. 5
Answer» E.
Discussion