Question:
The eigen values of the matrix \(\begin{bmatrix}4 & 3 \\3 & 4 \end{bmatrix} \) are
The eigen values of the matrix \(\begin{bmatrix}4 & 3 \\3 & 4 \end{bmatrix} \) are
Updated On: Jul 9, 2024
- 1
- 2
- 7
- 4
Hide Solution
Verified By Collegedunia
The Correct Option is A, C
Solution and Explanation
The correct answer is (A and C) : 1 AND 7
Was this answer helpful?
0
0
Top Questions on Matrix
- Consider the 3 × 3 matrix M = \(\begin{bmatrix} 1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6 \end{bmatrix}.\)
The determinant of (M2 + 12M) is ________. - Let $A = \begin{bmatrix} 2 & -1 \\ 1 & 1 \end{bmatrix}$. If the sum of the diagonal elements of $A^{13}$ is $3^n$, then $n$ is equal to _____.
- Let A be a square matrix such that \(AA^T=I\).Then \(\frac{1}{2}A[(A+A^T)^2+(A-A^T)^2]\) is equal to
- Let \(u=\begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \end{bmatrix}\), and let σ1, σ2, σ3, σ4, σ5 be the singular values of the matrix M= uuT (where uT is the transpose of u).The value of \(Σ^{5}_{i=1}σ_i\) is
- In a two-player game, player 1 can choose either M or N as strategies. Player 2 can choose either X, Y, or Z as strategies. The payoff matrix is as follows:
a X Y Z M 3, 1 0, 0 −1, 2 N 0, 0 1, 3 0.5, 1
Which set of strategy profiles survives iterated elimination of strictly dominated strategies?
View More Questions
Questions Asked in GATE ES exam
- A saturated \(CaCO_3 \)stock solution is existing at 25°C. In one experiment (i) 25 g \(Na_2CO_3 \)is added to the stock solution. In another experiment (ii) 25 g \(Na_2SO_4\) is added to the stock solution. Select the correct statement from the following.
- GATE ES - 2024
- Solutions
- A person consumes 2.5 liters of water per day. The water quality test indicated that the supplied water has a Pb concentration of 0.6 mg/L. If the weight of the person is 75 kg, the exposure level for Pb for this person from this drinking water source is _________mg/kg/day (rounded off to 2 decimal places).
- GATE ES - 2024
- Wastewater Treatment Plant (WWTP)
- For a biodegradable waste with a chemical formula $C_{50}H_{100}O_{40}N$, the maximum theoretical methane production per ton of waste is __________kg (rounded off to 2 decimal places).
Assume 100% anaerobic conversion. Atomic weights of C-12; H-1; O-16; N-14- GATE ES - 2024
- Solid Waste Management
- Initially a bottle contained 400 g of ethanol. Half of ethanol was used by a student for preparing the stock solution in an environmental chemistry laboratory just before summer vacation of 90 days. After completing the procedure, the student left the bottle uncorked. If the unsealed bottle losses ethanol at a rate of 0.5 g/day, the ethanol that will be left in the bottle at the end of the summer vacation is __________ g (an integer value).
- GATE ES - 2024
- Some Important Carbon Compounds – Ethanol And Ethanoic Acid
- In a region, total annual consumption of gasoline is 30.6 million tons. The land required for growing sugarcane to produce enough bioethanol to replace the gasoline completely is ___________ \(km^2\) (an integer value).
Ethanol energy equivalent is 67% of gasoline, gasoline density is 850 \(kg/m^3\), yield of bioethanol produced from sugarcane per hectare of land is 3750 L, and 1 \(km^2\) = 100 hectares- GATE ES - 2024
- Some Important Carbon Compounds – Ethanol And Ethanoic Acid
View More Questions