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Test: Matrices & Determinants - 4 - Mathematics MCQ


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20 Questions MCQ Test Mathematics for Competitive Exams - Test: Matrices & Determinants - 4

Test: Matrices & Determinants - 4 for Mathematics 2024 is part of Mathematics for Competitive Exams preparation. The Test: Matrices & Determinants - 4 questions and answers have been prepared according to the Mathematics exam syllabus.The Test: Matrices & Determinants - 4 MCQs are made for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Matrices & Determinants - 4 below.
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Test: Matrices & Determinants - 4 - Question 1

The values of θ lying between 0 and (π/2) and satisfying the equation  = 0 are

Test: Matrices & Determinants - 4 - Question 2

If a, b and c (all positive) are the pth, qth and rth terms of a geometric progression, then is equal to

Detailed Solution for Test: Matrices & Determinants - 4 - Question 2

let the first term be t and common ratio be z
a=tz(p-1) 
b=tz(q-1)
c=tz(r-1)
just apply these values there and apply log and matrices properties

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Test: Matrices & Determinants - 4 - Question 3

The value of is

Test: Matrices & Determinants - 4 - Question 4

If B is a non-singular matrix and A is a square matrix, then det(B−1 AB) is equal to

Test: Matrices & Determinants - 4 - Question 5

The eigen values of the matrix A = are

Test: Matrices & Determinants - 4 - Question 6

is equal to

Test: Matrices & Determinants - 4 - Question 7

If then the value of is 

Test: Matrices & Determinants - 4 - Question 8

If D = then D is equal to

Test: Matrices & Determinants - 4 - Question 9

If A =  then A3 - 4A2 is equal to

Test: Matrices & Determinants - 4 - Question 10

If then

Test: Matrices & Determinants - 4 - Question 11

The value of determinant is

Test: Matrices & Determinants - 4 - Question 12

If 3x + 2y + z = 0, x + 4y + z = 0, 2x + y + 4z = 0 be a system of equations, then

Test: Matrices & Determinants - 4 - Question 13

For what value of λ, the system of equations 3x - y + z = 0, 15x - 6y + 5z = 0, x - 2y + 2z = 0 has a non-zero solution?

Test: Matrices & Determinants - 4 - Question 14

For positive numbers x, y and z, the numerical value of  is

Test: Matrices & Determinants - 4 - Question 15

If f(x) =  then f(100) is equal to

Test: Matrices & Determinants - 4 - Question 16

If f(x), g(x) and h(x) are three polynomials of degree 2, then φ (x) =  is a polynomial of degree

Test: Matrices & Determinants - 4 - Question 17

For what value of λ, the system of equations x + y + z = 6, x + 2y + 3z = 10, x + 2y + λz = 12 is inconsistent?

Test: Matrices & Determinants - 4 - Question 18

The value of the determinant is equal to

Test: Matrices & Determinants - 4 - Question 19

If x, y, z are in A.P., then the value of the determinant is

Test: Matrices & Determinants - 4 - Question 20

Le A = where 0 < θ < 2π. Then

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