Physics Exam > Physics Tests > Topic wise Tests for IIT JAM Physics > Linear Algebra NAT Level - 1 - Physics MCQ

Test Description

Linear Algebra NAT Level - 1 for Physics 2024 is part of Topic wise Tests for IIT JAM Physics preparation. The Linear Algebra NAT Level - 1 questions and answers have been
prepared according to the Physics exam syllabus.The Linear Algebra NAT Level - 1 MCQs are made for Physics 2024 Exam. Find important
definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Linear Algebra NAT Level - 1 below.

Solutions of Linear Algebra NAT Level - 1 questions in English are available as part of our Topic wise Tests for IIT JAM Physics for Physics & Linear Algebra NAT Level - 1 solutions in
Hindi for Topic wise Tests for IIT JAM Physics course. Download more important topics, notes, lectures and mock
test series for Physics Exam by signing up for free. Attempt Linear Algebra NAT Level - 1 | 10 questions in 30 minutes | Mock test for Physics preparation | Free important questions MCQ to study Topic wise Tests for IIT JAM Physics for Physics Exam | Download free PDF with solutions

*Answer can only contain numeric values

Linear Algebra NAT Level - 1 - Question 1

What is the maximum value of λ, for which the given system is inconsistent?

Detailed Solution for Linear Algebra NAT Level - 1 - Question 1

*Answer can only contain numeric values

Linear Algebra NAT Level - 1 - Question 2

Given a matrix,

What would be the sum of eigenvalues of A^{–1}? (Give the answer upto 3 decimal places )

Detailed Solution for Linear Algebra NAT Level - 1 - Question 2

1 Crore+ students have signed up on EduRev. Have you? Download the App |

*Answer can only contain numeric values

Linear Algebra NAT Level - 1 - Question 3

Consider the matrix Then find the product of eigenvalues?

Detailed Solution for Linear Algebra NAT Level - 1 - Question 3

*Multiple options can be correct

Linear Algebra NAT Level - 1 - Question 4

The three equations,

–2x + y + z = a

x – 2y + z = b

x + y – 2z = c

has

Detailed Solution for Linear Algebra NAT Level - 1 - Question 4

*Answer can only contain numeric values

Linear Algebra NAT Level - 1 - Question 5

Consider the following equations

x + y – 3z + 2w = 0

2x – y + 2z – 3w = 0

3x – 2y + z – 4w = 0

–4x – y + 3z + 4w = 0

Find the rank of the coefficient matrix.

Detailed Solution for Linear Algebra NAT Level - 1 - Question 5

*Answer can only contain numeric values

Linear Algebra NAT Level - 1 - Question 6

If x = y = z = αc satisfy the matrix equation AX = 0 where

then find the value of α.

Detailed Solution for Linear Algebra NAT Level - 1 - Question 6

*Answer can only contain numeric values

Linear Algebra NAT Level - 1 - Question 7

For which value of λ will the following equations fail to have unique solution?

3x – y + λz = 1

2x + y + z = 2

x + 2y – λz = –1

Detailed Solution for Linear Algebra NAT Level - 1 - Question 7

*Answer can only contain numeric values

Linear Algebra NAT Level - 1 - Question 8

Let A be a 3 × 3 matrix with eigen values 1, –1, 0. Then the determinant of I + A^{100} is :

Detailed Solution for Linear Algebra NAT Level - 1 - Question 8

*Answer can only contain numeric values

Linear Algebra NAT Level - 1 - Question 9

The system of equations αx + y + z = α - 1, x + αy + z = α - 1, x + y + αz = α - 1 has no solution. Find the maximum value of α

Detailed Solution for Linear Algebra NAT Level - 1 - Question 9

*Answer can only contain numeric values

Detailed Solution for Linear Algebra NAT Level - 1 - Question 10

Information about Linear Algebra NAT Level - 1 Page

In this test you can find the Exam questions for Linear Algebra NAT Level - 1 solved & explained in the simplest way possible.
Besides giving Questions and answers for Linear Algebra NAT Level - 1, EduRev gives you an ample number of Online tests for practice

Download as PDF