Avatto > ACET > PRACTICE QUESTIONS > Mathematics > Vectors and Matrices

Mathematics MCQ - Vectors and Matrices

66 If

then (a + b) equals

A
B
C
D

We know, AA^-1 = I

Linear Algebra

67 The eigen values and the corresponding eigen vectors of a 2 x 2 matrix are given by

Eigenvalue

The

eigen value

Eigenvector

eigen vector

eigen vector

A
B
C
D

Given matrix

Linear Algebra

We know,

Linear Algebra

Linear Algebra

$\Rightarrow$ $\lambda$ = 4, 8 (eigen values)

For $\lambda$ ₁ = 4

Linear Algebra

For $\lambda$ ₂= 8

Linear Algebra

68 For the

corresponding to the eigen vector

the

corresponding to the eigen vector is

Given matrix

Linear Algebra

For the eigen vector

Linear Algebra

Linear Algebra

Linear Algebra

= λ = 6 (eigenvalue)

69 A second order system starts with an initial condition of

A second order system starts with an initial condition of

without any external input. The state transition matrix for the system is given by

A second order system starts with an initial condition of

The state of the end of 1 second is given by

A
B
C
D

The state of the system at time t is,

Linear Algebra

At t = 1

Linear Algebra

70 The unit step input u(t) has the state transition matrix

A
B
C
D

Linear Algebra

Your Progress

0%

Start Practising!

You've answered 0 of 71 questions in this topic.

View Detailed Progress

Global Spotlight

Add Timed Practice

You have answered 0 questions with 0% accuracy.

Day 3 / 10

Question Spotlight

Question:

Rank of the matrix A = 0 0 0 0 4 2 3 0 1 0 0 0 4 0 3 0

Answer:

Determinant A = 0 ⇒ 4 2 3 1 0 0 4 0 3 Hence rank of A=3

Day 1 / 10

Community Insight

Waiting for community attempts

Most Attempted TopicVectors and Matrices
Most Challenging TopicVectors and Matrices
Average Accuracy0%

Featured Question

(Based on recent community answers)

Q. #9988New

If A and B are non-zero square matrices, then AB = 0 implies

Try This Question →

This Week's Challenge

Complete 20 questions and set the community benchmark!

0 / 20 Start Challenge →

Why Practice with Avatto?

High Quality MCQsExam-focused questions with accurate answers

Detailed ExplanationsStep-by-step explanations to enhance learning

Latest Exam PatternBased on updated syllabus and pattern

Performance AnalyticsTrack performance and improve weak areas

100% Free PracticePractice unlimited questions for free

Forgot your password?

I agree with the Terms.