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Published on: 05/11/2020
12th Standard Maths Application of Matrices and Determinants English Medium Free Online Test One Mark Questions 2020 - 2021
Download Tamil Nadu 12th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
In a square matrix the minor Mij and the co-factor Aij of and element aij are related by _____
Aij = -Mij
Aij = Mij
Aij = (-1)i+j Mij
Aij =(-1)i-j Mij
2.
In the system of equations with 3 unknowns, if Δ = 0, and one of Δx, Δy of Δz is non zero then the system is ______
Consistent
inconsistent
consistent with one parameter family of solutions
consistent with two parameter family of solutions
3.
Cramer's rule is applicable only when ______
Δ ≠ 0
Δ = 0
Δ =0, Δx =0
Δx = Δy = Δz =0
4.
If the system of equations x + 2y - 3x = 2, (k + 3) z = 3, (2k + 1) y + z = 2 is inconsistent then k is ___________
-3, -\(\frac{1}{2}\)
-\(\frac{1}{2}\)
1
2
5.
The system of linear equations x + y + z = 6, x + 2y + 3z =14 and 2x + 5y + λz =μ (λ, μ \(\in \) R) is consistent with unique solution if _________
λ = 8
λ = 8, μ ≠ 36
λ ≠ 8
none
6.
If adj A = \(\left[ \begin{matrix} 2 & 3 \\ 4 & -1 \end{matrix} \right] \) and adj B = \(\left[ \begin{matrix} 1 & -2 \\ -3 & 1 \end{matrix} \right] \) then adj (AB) is
\(\left[ \begin{matrix} -7 & -1 \\ 7 & -9 \end{matrix} \right] \)
\(\left[ \begin{matrix} -6 & 5 \\ -2 & -10 \end{matrix} \right] \)
\(\left[ \begin{matrix} -7 & 7 \\ -1 & -9 \end{matrix} \right] \)
\(\left[ \begin{matrix} -6 & -2 \\ 5 & -10 \end{matrix} \right] \)
7.
If A, B and C are invertible matrices of some order, then which one of the following is not true?
adj A = |A|A-1
adj(AB) = (adj A)(adj B)
det A-1 = (det A)-1
(ABC)-1 = C-1B-1A-1
8.
If P = \(\left[ \begin{matrix} 1 & x & 0 \\ 1 & 3 & 0 \\ 2 & 4 & -2 \end{matrix} \right] \) is the adjoint of 3 × 3 matrix A and |A| = 4, then x is
15
12
14
11
9.
If A = \(\left[ \begin{matrix} 7 & 3 \\ 4 & 2 \end{matrix} \right] \), then 9I2 - A =
A-1
\(\frac { { A }^{ -1 } }{ 2 } \)
3A-1
2A-1
1.
(c)
Aij = (-1)i+j Mij
2.
(b)
inconsistent
3.
(a)
Δ ≠ 0
4.
(a)
-3, -\(\frac{1}{2}\)
5.
(c)
λ ≠ 8
6.
(b)
\(\left[ \begin{matrix} -6 & 5 \\ -2 & -10 \end{matrix} \right] \)
7.
(b)
adj(AB) = (adj A)(adj B)
8.
(d)
11
9.
(d)
2A-1
12th Standard Syllabus & Materials
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Computer Applications

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Business Maths and Statistics

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