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Mathematics Exam  >  Mathematics Tests  >  Mathematics for Competitive Exams  >  Test: Matrices & Determinants - 3 - Mathematics MCQ

Test: Matrices & Determinants - 3 - Mathematics MCQ


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20 Questions MCQ Test Mathematics for Competitive Exams - Test: Matrices & Determinants - 3

Test: Matrices & Determinants - 3 for Mathematics 2024 is part of Mathematics for Competitive Exams preparation. The Test: Matrices & Determinants - 3 questions and answers have been prepared according to the Mathematics exam syllabus.The Test: Matrices & Determinants - 3 MCQs are made for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Matrices & Determinants - 3 below.
Solutions of Test: Matrices & Determinants - 3 questions in English are available as part of our Mathematics for Competitive Exams for Mathematics & Test: Matrices & Determinants - 3 solutions in Hindi for Mathematics for Competitive Exams course. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free. Attempt Test: Matrices & Determinants - 3 | 20 questions in 60 minutes | Mock test for Mathematics preparation | Free important questions MCQ to study Mathematics for Competitive Exams for Mathematics Exam | Download free PDF with solutions
Test: Matrices & Determinants - 3 - Question 1
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The adjoint of  is given by

Test: Matrices & Determinants - 3 - Question 2
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The rank of a unit matrix of order n is

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Test: Matrices & Determinants - 3 - Question 3
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A is a skew-symmetric matrix and n is a positive integer, then An is 

Test: Matrices & Determinants - 3 - Question 4
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If A = then
Test: Matrices & Determinants - 3 - Question 5
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Let P =  . Then, the eigen vectors corresponding to the eigen values i and -i respectively are
Test: Matrices & Determinants - 3 - Question 6
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Let Δ = where a = i, b = ω, c = ω2, then Δ is equal to
Test: Matrices & Determinants - 3 - Question 7
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The only integral root of the equation is
Test: Matrices & Determinants - 3 - Question 8
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The value of the determinant is
Test: Matrices & Determinants - 3 - Question 9
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If 5 is one of the roots of equation then other two roots of equation are
Detailed Solution for Test: Matrices & Determinants - 3 - Question 9

x[(x2 − (2 × 8))] − 3[2x − (−2x × 7)] + 7(16 − 7x) = 0
x3 + 16x − 42 − 6x + 112 − 49x = 0
x3 − 39x + 70 = 0
(x − 5)(x2 + 5 − 14) = 0
(x − 5)(x2 + 7x − 2x − 14) = 0
(x − 5)(x + 7)(x − 2)
x = −7, 2
Hence, the correct option is (D).

Test: Matrices & Determinants - 3 - Question 10
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The value of the determinant (being + ve) is
Test: Matrices & Determinants - 3 - Question 11
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The value of is
Test: Matrices & Determinants - 3 - Question 12
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Test: Matrices & Determinants - 3 - Question 13
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then x is
Test: Matrices & Determinants - 3 - Question 14
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Value of determinant is
Test: Matrices & Determinants - 3 - Question 15
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If = Ax - 12, then the value of A is
Test: Matrices & Determinants - 3 - Question 16
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The system of simultaneous equations kx + 2y - z = 1; (k - 1) y - 2z = 2 and (k + 2) z = 3 have a unique solution if k equals
Test: Matrices & Determinants - 3 - Question 17
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If the system of equations 2x + 3y + 5 = 0, x + ky + 5 = 0, kx – 12y – 14 = 0 be consistent, then k =
Test: Matrices & Determinants - 3 - Question 18
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If A + B + C = π, then the value of is
Test: Matrices & Determinants - 3 - Question 19
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If a ≠ p, b ≠ q, c ≠ r and = 0, then the value of is
Test: Matrices & Determinants - 3 - Question 20
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If A is an invertible matrix, then det (A-1) is equal to
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