Question:
If a $3 \times 3$ matrix $A$ has eigenvalues $2, 3, -4$, find $\det(A)$.
If a $3 \times 3$ matrix $A$ has eigenvalues $2, 3, -4$, find $\det(A)$.
Show Hint
Determinant = product of eigenvalues.
Updated On: May 20, 2026
- $6$
- $-12$
- $-24$
- $24$
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Concept:
Determinant equals product of eigenvalues.
Step 1: Multiply eigenvalues \[ \det(A) = 2 \times 3 \times (-4) \] \[ = 6 \times (-4) = -24 \] \[ \therefore \det(A) = -24 \]
Step 1: Multiply eigenvalues \[ \det(A) = 2 \times 3 \times (-4) \] \[ = 6 \times (-4) = -24 \] \[ \therefore \det(A) = -24 \]
Was this answer helpful?
0
0
Top CUET PG Electronics and Communication Engineering Questions
- What is the Thevenin equivalent voltage across a load in an open-circuited network?
- Which semiconductor device is primarily used as a voltage regulator?
- Calculate the Nyquist rate for a signal with a maximum frequency component of 5 kHz.
- How many flip-flops are required to build a MOD-16 counter?
- Which type of power amplifier has the highest theoretical efficiency?
View More Questions
Top CUET PG Eigenvalues Questions
Top CUET PG Questions
- Given below are two statements:
Statement I: For Plato the meaning of the word 'Justice' is basically a conception in the mind only.
Statement II: For Plato the meaning of the word 'Justice' is fixed, mind-independently
In the light of the above statements, choose the correct answer from the options given below: - What is the electron count of OS6CO182-?
- XeF4 hydrolysis gives A + B, HF, and Oxygen. Find A and B
- What is more basic in pyrol and pyridine?
- Hydrolysis of Al2C3, Be2?
View More Questions