Explore topic-wise MCQs in Finite Element Method.

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

1.

A= ( left[ begin{array}{c c r r}
3 & 2 & 1 4 & 5 & -8 10 & 0 & 5 end{array} right] )Then det (A) =

A. 120
B. -80
C. -175
D. 0
Answer» D. 0
2.

( left[ begin{array}{c c c r r r r}
2 & -1 & 6 & 3 0 & 14 & 8 & 0 0 & 0 & 5 & 1 0 & 0 & 0 & 3 end{array} right] ) is a _____

A. Principle diagonal matrix
B. Upper triangular matrix
C. Lower triangular matrix
D. Singular matrix
Answer» C. Lower triangular matrix
3.

Det(A- I)=0 is a ________

A. Characteristic equation
B. Matrix equation
C. Inversion of matrix
D. Cholesky s equation
Answer» B. Matrix equation
4.

A positive definite symmetric matrix A can be decomposed into form A=LLT this decomposition is called ________

A. Cholesky
B. Rayleighs
C. Galerkins
D. Potential energy
Answer» B. Rayleighs
5.

A A-1=A-1A is a condition for ________

A. Singular matrix
B. Nonsingular matrix
C. Matrix inversion
D. Ad joint of matrix
Answer» D. Ad joint of matrix
6.

A symmetric matrix is called ____________, if all its Eigen values are strictly positive i.e., greater than zero.

A. Negative definite
B. Positive definite
C. Co- definite
D. Alternative definite
Answer» C. Co- definite
7.

The derivative of Ax with respect to variable xp is given by __________

A. ( frac{d}{dx} )(A x)=x<sub>p</sub>
B. ( frac{d}{dx} )(x<sub>p</sub>)=A x
C. A x=x<sub>p</sub>
D. x<sub>p</sub>=Ax
Answer» B. ( frac{d}{dx} )(x<sub>p</sub>)=A x
8.

(A B C)T = _______

A. (C B A)<sup>T</sup>
B. B<sup>T</sup> C<sup>T</sup> A<sup>T</sup>
C. C<sup>T</sup> B<sup>T</sup> A<sup>T</sup>
D. A<sup>T</sup> B<sup>T</sup> C<sup>T</sup>
Answer» D. A<sup>T</sup> B<sup>T</sup> C<sup>T</sup>
9.

Which of the following is a row vector?

A. ( left[ begin{array}{c c r } 0 &amp; 1 &amp; 2 end{array} right] )
B. ( left[ begin{array}{c c r r} 0 1 2 end{array} right] )
C. ( left[ begin{array}{c r} 0 &amp; 1 1 &amp; 2 end{array} right] )
D. ( left[ begin{array}{c c r r} 0 &amp; 3 &amp; 6 1 &amp; 8 &amp; 4 0 &amp; 5 &amp; 7 end{array} right] )
Answer» B. ( left[ begin{array}{c c r r} 0 1 2 end{array} right] )
10.

What is a matrix?

A. Group of elements
B. Array of elements
C. Group of columns and rows
D. Array of numbers
Answer» C. Group of columns and rows