Recent questions tagged linear-algebra / GATE Overflow for GATE CSE

1 -3 30 -5 60 -3 4 a 3*3 matrix is given if x,y, z are the eigan value then find xy+yz+ax? my approch… if i do row transformation in c2->c2+c3and then c2-...

jugnu1337

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jugnu1337 asked May 14, 2023

0 votes

1 answer

155

#self doubt

Dknights

452 views

Dknights asked Apr 18, 2023

0 votes

1 answer

156

#appliedcourse
not getting the answer by 3*3 eigen value formula – (x^3-trace(a)*x^2+sum of minors of a(x)+|a|) eigen values are given as -2,3,6

not getting the answer by 3*3 eigen value formula – (x^3-trace(a)*x^2+sum of minors of a(x)+|a|)eigen values are given as -2,3,6

Dknights

484 views

Dknights asked Apr 14, 2023

9 votes

2 answers

157

GO Classes 2024 | Weekly Quiz 7 | Linear Algebra | Question: 5
Suppose that the characteristic polynomial of $\text{A}$ is $ p(\lambda)=\lambda(\lambda-2)(\lambda-3)^2. $ Which of the following can you determine from this information? The rank of $\text{A}$. Whether $\text{A}$ is symmetric. Whether $\text{A}$ is diagonalizable. The eigenvalues of $\text{A}$.

Suppose that the characteristic polynomial of $\text{A}$ is$$p(\lambda)=\lambda(\lambda-2)(\lambda-3)^2.$$Which of the following can you determine from this information?T...

GO Classes

817 views

GO Classes asked Apr 5, 2023

9 votes

4 answers

158

GO Classes 2024 | Weekly Quiz 7 | Linear Algebra | Question: 6
If $\text{A}$ is a $4 \times 3$ matrix and $\text{A} x=b$ is not solvable for some $b$ and the solutions are not unique when they exist, possible values for the rank of $\text{A}$ are ________ (list all possibilities). $0$ $1$ $2$ $3$

If $\text{A}$ is a $4 \times 3$ matrix and $\text{A} x=b$ is not solvable for some $b$ and the solutions are not unique when they exist, possible values for the rank of $...

GO Classes

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GO Classes asked Apr 5, 2023

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