44 Matrices questions from Mathematics Mock Test - 8 with detailed answers and explanations. Free previous year questions and MCQs.
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Years:2026 (44)
Matrices — Mathematics Mock Test - 8(1–44 of 44)
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Q1mediummcqMathematicsMathematics Mock Test - 62026
13% accuracy
If A=[14−25] and f(t)=t2−3t+7, then f(A)+[3−126−9] is equal to:
Q2mediummcqMathematicsMathematics Mock Test - 62026
17% accuracy
If A=[032−4] and kA=[02b3a24], then the values of k,a,b are respectively:
Q3mediummcqMathematicsMathematics Mock Test - 62026
4% accuracy
If A=[0110] and B=[0i−i0], then (A+B)(A+B) is equal to:
Q4mediummcqMathematicsMathematics Mock Test - 62026
4% accuracy
The system of equations:αx+y+z=α−1x+αy+z=α−1x+y+αz=α−1 has no solution, if α is:
Q5mediummcqMathematicsMathematics Mock Test - 62026
4% accuracy
If a+bb+cc+ab+cc+aa+bc+aa+bb+c=Kabcbcacab, then K=
Q6mediummcqMathematicsMathematics Mock Test - 62026
9% accuracy
The order of [xyz]ahghbfgfcxyz is:
Q7mediummcqMathematicsMathematics Mock Test - 12026
9% accuracy
If A=(2924) and I=(1001), then 10A−1 is equal to:
Q8mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
The number of 2×2 matrices A, with each element as a real number and satisfying A+AT=I and ATA=I, is:
Q9mediummcqMathematicsMathematics Mock Test - 102026
36% accuracy
If f(α)=[cosα−sinαsinαcosα] and if α,β and γ are angles of a triangle, then x is a solution to xn=∣f(α)⋅f(β)⋅f(γ)∣ where n=3. What are the values of x?
Q10hardmcqMathematicsMathematics Mock Test - 102026
18% accuracy
Given matrix A=113−2161−1−5 and adj A=123−48−12123, the system of equations:x−2y+z=5x+y−z=63x+6y−5z=7 has:
Q11mediummcqMathematicsMathematics Mock Test - 12026
0% accuracy
If A and B are two matrices such that AB=B and BA=A, then A2+B2 is equal to:
Q12mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
If a=6, b,c satisfy a342bba2ccb=0 then abc=
Q13mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
If O(A)=2×3, O(B)=3×2 and O(C)=3×3, which one of the following is not defined?
Q14mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
The co-factor of the element '4' in the determinant 1280330254111211
Q15mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
Let A=[1−521] and A−1=xA+yI, then the values of x and y are:
Q16mediummcqMathematicsMathematics Mock Test - 52026
100% accuracy
The set of equations a+b−2c=0, 2a−3b+c=0, and a−5b+4c=α is consistent. If the cofactors of the coefficient matrix A are C11=7,C12=−7,C13=7,C21=6,C22=−6,C23=6,C31=5,C32=−5,C33=5, find the value of α.
Q17mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
If 2A+3B=[23−1245] and A+2B=[510632], then matrix B is:
Q18mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
If for a matrix A, A2+I=0, where I is the identity matrix of order 2, then A can be:
Q19mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Let A=43160−2−125, B=2−11042, and C=[312]. The expression which is not defined is:
Q20mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If U=[2,−3,4], X=[0,2,3], V=321 and Y=224, then UV+XY=
Q21mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Find the condition on k, so that the system of equations: x+3y=5 and 2x+ky=8 has a unique solution.
Q22mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
The value of k for which the system of equations x+ky+3z=0, 4x+3y+kz=0, 2x+y+2z=0 has a non-trivial solution is:
Q23mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If aij=21(3i−2j) and A=[aij]2×2, then A is equal to:
Q24mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If the area of a triangle with vertices (−3,0),(3,0) and (0,k) is 9 square units, then what is the value of k?
Q25mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If A=200020002 and B=100210332, then ∣AB∣ is equal to:
Q26mediummcqMathematicsMathematics Mock Test - 42026
100% accuracy
The order of a matrix is defined as:
Q27mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
If A=200020002, then A5 is equal to:
Q28mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
Find the value of det(22A) for the following matrix: A=2−1−3301122
Q29mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
If A is a skew-symmetric matrix, then its transpose AT is equal to:
Q30mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If I3 is the identity matrix of order 3, then I3−1 is:
Q31mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If A is a singular matrix, then adj A is:
Q32mediummcqMathematicsMathematics Mock Test - 82026
The minors of −4 and 9 and the co-factors of −4 and 9 in the determinant −1−4−7−2−5−83−69 are respectively:
Q33mediummcqMathematicsMathematics Mock Test - 112026
If A=[64−3−2] and B=[2xy7], such that AB=O (Zero matrix), find the values of x and y.
Q34mediummcqMathematicsMathematics Mock Test - 82026
If A=103−22−22−34, then A⋅adj(A) is equal to:
Q35mediummcqMathematicsMathematics Mock Test - 82026
The values of x for which the given matrix −x2xxx−22−x−x will be non-singular are:
Q36mediummcqMathematicsMathematics Mock Test - 82026
The real value of k for which the system of equations 2kx−2y+3z=0, x+ky+2z=0, 2x+kz=0, has a non-trivial solution is:
Q37mediummcqMathematicsMathematics Mock Test - 32026
M is a square matrix of order n and ∣M∣=5. If all elements of M are multiplied by 2, the determinant becomes 40. The value of n is:
Q38mediummcqMathematicsMathematics Mock Test - 82026
If f(x)=[x2λλx], then ∣f(λx)−f(x)∣ is equal to:
Q39mediummcqMathematicsMathematics Mock Test - 82026
If X=[31−4−1], then the value of Xn is:
Q40mediummcqMathematicsMathematics Mock Test - 32026
If [1x1]1432523651−23=0, then the value of x is:
Q41mediummcqMathematicsMathematics Mock Test - 32026
The system of equations x+2y+z=0,x−z=k,x+y=0 has infinitely many solutions. If adj(A)=1−111−11−22−2, then the possible value of k is:
Q42mediummcqMathematicsMathematics Mock Test - 32026
If A is the identity matrix of order 3 and B is its transpose, then what is the value of the determinant of the matrix C=A+B?
Q43mediummcqMathematicsMathematics Mock Test - 32026
If a matrix A is such that 3A3+2A2+5A+I=O, then what is A−1 equal to?
Q44mediummcqMathematicsMathematics Mock Test - 32026
Which of the following is NOT true for matrices A,B,C (assuming dimensions allow operations)?
Mathematics Mock Test - 8 Matrices — FAQ
How many Matrices questions come in Mathematics Mock Test - 8?▼
Our database has 44 Matrices questions from Mathematics Mock Test - 8 covering 2026 to 2026.
What difficulty are Mathematics Mock Test - 8 Matrices questions?▼
The 44 Mathematics Mock Test - 8 Matrices questions include 0 easy, 43 medium and 1 hard level questions.
Where can I find more Matrices questions for other exams?▼
Visit /tag/matrices to see all Matrices questions across all exams including AIEEE, Mathematics Mock Test - 2, Mathematics Mock Test - 5.