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Webpage for Linear Algebra
Recent questions tagged linear-algebra
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271
Self Doubt
Question: How NullSpace of the matrix A and the uniqueness of the solution of Ax=b are related ??
Question: How NullSpace of the matrix A and the uniqueness of the solution of Ax=b are related ??
lalitver10
312
views
lalitver10
asked
Dec 24, 2022
Linear Algebra
self-doubt
linear-algebra
+
–
1
votes
1
answer
272
DRDO CSE 2022 Paper 1 | Question: 1
Compute $\left[M M^{T}\right]^{-1}$ for an orthogonal matrix where \[M=\left[\begin{array}{lll} \frac{1}{\sqrt{2}} & \frac{2}{\sqrt{2}} & \frac{-2}{\sqrt{2}} \\ \frac{-2}{\sqrt{2}} & \frac{2}{\sqrt{2}} & \frac{1}{\sqrt{2}} \\ \frac{2}{\sqrt{2}} & \frac{1}{\sqrt{2}} & \frac{2}{\sqrt{2}} \end{array}\right] .\]
Compute $\left[M M^{T}\right]^{-1}$ for an orthogonal matrix where\[M=\left[\begin{array}{lll}\frac{1}{\sqrt{2}} & \frac{2}{\sqrt{2}} & \frac{-2}{\sqrt{2}} \\\frac{-2}{\s...
admin
452
views
admin
asked
Dec 15, 2022
Linear Algebra
drdocse-2022-paper1
linear-algebra
matrix
3-marks
descriptive
+
–
1
votes
0
answers
273
DRDO CSE 2022 Paper 1 | Question: 2
Calculate the eigenvalues of matrix $M, M^{-1}, M^{2}$ and $M+2 I$ where \[M=\left[\begin{array}{cc} 4 & 5 \\ 2 & -5 \end{array}\right].\]
Calculate the eigenvalues of matrix $M, M^{-1}, M^{2}$ and $M+2 I$ where\[M=\left[\begin{array}{cc}4 & 5 \\2 & -5\end{array}\right].\]
admin
232
views
admin
asked
Dec 15, 2022
Linear Algebra
drdocse-2022-paper1
linear-algebra
eigen-value
5-marks
descriptive
+
–
1
votes
1
answer
274
DRDO CSE 2022 Paper 1 | Question: 3
With no unique solution, solve for $n$ with the following system of equations $\begin{array}{r} a+b+2 c=3 \\ a+2 b+3 c=4 \\ a+4 b+n c=6 \end{array}$
With no unique solution, solve for $n$ with the following system of equations$$\begin{array}{r}a+b+2 c=3 \\a+2 b+3 c=4 \\a+4 b+n c=6\end{array}$$
admin
281
views
admin
asked
Dec 15, 2022
Linear Algebra
drdocse-2022-paper1
linear-algebra
system-of-equations
5-marks
descriptive
+
–
0
votes
1
answer
275
MADEEASY TESTSERIES
To justify the OPTION B they gave an example of 2*2 matrix. However we can see that row 2 is linearly dependent on row1. Even though the 2nd row looks non-zero it can be made into zero. SO am I wrong or the explanation is wrong?
To justify the OPTION B they gave an example of 2*2 matrix. However we can see that row 2 is linearly dependent on row1. Even though the 2nd row looks non-zero it can be ...
DAWID15
682
views
DAWID15
asked
Dec 9, 2022
Linear Algebra
made-easy-test-series
matrix
linear-algebra
+
–
0
votes
0
answers
276
#LinearAlgebra
Is this correct?
Is this correct?
robinofautumn
351
views
robinofautumn
asked
Nov 24, 2022
Linear Algebra
linear-algebra
eigen-value
+
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