Linear Algebra MCQs Question and Answer in Engineering Maths
Explore a curated set of multiple-choice questions (MCQs) focused on Linear Algebra within the engineering maths section. Linear Algebra MCQ Quiz Pdf and prepare for your upcoming exams Like GATE and engineering exams. Page-6 section-1
Each section contains 100 MCQs on
Linear Algebra .
If \[{\text{A}} = \left[ {\begin{array}{*{20}{c}}
{2 + {\text{i}}}&3&{ - 1 + 3{\text{i}}} \\
{ - 5}&{\text{i}}&{4 - 2{\text{i}}}
\end{array}} \right],\] then AA∗ will be
(where, A∗ is the conjugate transpose of A)
Consider the following system of linear equations:
3x + 2ky = -2
kx + 6y = 2
Here, x and y are the unknown and k is a real constant. The value of k for which there are infinite number of solutions is
Consider the matrix as given below:
\[\left[ {\begin{array}{*{20}{c}}
1&2&3 \\
0&4&7 \\
0&0&3
\end{array}} \right]\]
Which one of the following options provides the CORRECT values of the eigen values of the matrix?
The two Eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}}
2&1 \\
1&{\text{p}}
\end{array}} \right]\] have a ratio of 3 : 1 for p = 2. What is another value of p for which the Eigen values have the same ratio of 3 : 1?
[A] is square matrix which is neither symmetric nor skew-symmetric and [A]T is its transpose. The sum and difference of these matrices are defined as [S] = [A] + [A]T and [D] = [A] - [A]T, respectively. Which of the following statements is TRUE?
\[{\text{P}} = {\left[ {\begin{array}{*{20}{c}}
{ - 10} \\
{ - 1} \\
3
\end{array}} \right]^{\text{T}}},{\text{Q}} = {\left[ {\begin{array}{*{20}{c}}
{ - 2} \\
{ - 5} \\
9
\end{array}} \right]^{\text{T}}}\] and \[{\text{R}} = {\left[ {\begin{array}{*{20}{c}}
2 \\
{ - 7} \\
{12}
\end{array}} \right]^{\text{T}}}\] are three vectors. An orthogonal set of vectors having a span that contains P, Q, R is
