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JEE Exam  >  JEE Tests  >  Determinants (May 2) - JEE MCQ

Determinants (May 2) - JEE MCQ


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10 Questions MCQ Test - Determinants (May 2)

Determinants (May 2) for JEE 2024 is part of JEE preparation. The Determinants (May 2) questions and answers have been prepared according to the JEE exam syllabus.The Determinants (May 2) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Determinants (May 2) below.
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Determinants (May 2) - Question 1
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Let a =  , then Det. A is  

Detailed Solution for Determinants (May 2) - Question 1

Apply C2 → C2 + C3,



 

Determinants (May 2) - Question 2
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Detailed Solution for Determinants (May 2) - Question 2

because , the value of the determinant is zero only when , the two of its rows are identical., Which is possible only when Either x = 3 or x = 4 .

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Determinants (May 2) - Question 3
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Detailed Solution for Determinants (May 2) - Question 3

Apply , R1 → R1+R2+R3,



Apply , C3→ C3 - C1, C2→C2 - C1,

=(a+b+c)3

Determinants (May 2) - Question 4
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If A and B matrices are of same order and A + B = B + A, this law is known as
Detailed Solution for Determinants (May 2) - Question 4

Commutative law, in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + b = b + a and ab = ba

Determinants (May 2) - Question 5
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If A’ is the transpose of a square matrix A , then
Detailed Solution for Determinants (May 2) - Question 5

The determinant of a matrix A and its transpose always same.

Determinants (May 2) - Question 6
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The value of the determinant  is
Detailed Solution for Determinants (May 2) - Question 6

, Apply , C2 → C2 + C3





= 0, (∵ C1 = C2)

Determinants (May 2) - Question 7
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The roots of the equation det.   are
Detailed Solution for Determinants (May 2) - Question 7

⇒ (1-x)(2-x)(3-x) = 0 ⇒x = 1,2,3

Determinants (May 2) - Question 8
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If A is a square matrix of order 2 , then det (adj A) = x
Detailed Solution for Determinants (May 2) - Question 8

Let A be a square matrix of order 2 . then ,|adj.A| = |A|

Determinants (May 2) - Question 9
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If A is a symmetric matrix, then At =
Detailed Solution for Determinants (May 2) - Question 9

If A is a symmetric matrix then by definition AT=A
Option A is correct.

Determinants (May 2) - Question 10
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Detailed Solution for Determinants (May 2) - Question 10

, because , row 1 and row 3 are identical.

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