12th Standard Syllabus & Materials
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Published on: 09/11/2020
12th Standard Business Maths Applications of Matrices and Determinants English Medium Free Online Test One Mark Questions 2020 - 2021
Download Tamil Nadu 12th Standard Business Maths and Statistics 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.
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Take MCQ Business Maths and Statistics Test

1.
If A is a singular matrix, then Adj A is ___________
non-singular
singular
symmetric
not defined
2.
The value of \(\left| \begin{matrix} { 5 }^{ 2 } & { 5 }^{ 3 } & { 5 }^{ 4 } \\ { 5 }^{ 3 } & { 5 }^{ 4 } & { 5^{ 5 } } \\ { 5 }^{ 4 } & { 5 }^{ 5 } & { 5 }^{ 6 } \end{matrix} \right| \)
52
0
513
59
3.
For what value of k, the matrix \(A=\left( \begin{matrix} 2 & k \\ 3 & 5 \end{matrix} \right) \) has no inverse?
\(\frac { 3 }{ 10 } \)
\(\frac { 10 }{ 3 } \)
3
10
4.
Rank of a null matrix is _______.
0
-1
\(\infty \)
1
5.
If \(\rho(A) \neq \rho(A, B)\), then the system is _______.
Consistent and has infinitely many solutions
Consistent and has a unique solution
inconsistent
consistent
6.
If \(\rho (A)=\rho (A,B)\) then the system is ________.
Consistent and has infinitely many solutions
Consistent and has a unique solution
Consistent
inconsistent
7.
If the rank of the matrix \(\left( \begin{matrix} \lambda & -1 & 0 \\ 0 & \lambda & -1 \\ -1 & 0 & \lambda \end{matrix} \right) \) is 2. Then \(\lambda \) is ________.
1
2
3
only real number
8.
If \(\rho (A)\) = r then which of the following is correct?
all the minors of order r which does not vanish
A has at least one minor of order r which does not vanish
A has at least one (r+1) order minor which vanishes
all (r+1) and higher order minors should not vanish
9.
if T = \(_{ B }^{ A }\left( \begin{matrix} \overset { A }{ 0.4 } & \overset { B }{ 0.6 } \\ 0.2 & 0.8 \end{matrix} \right) \) is a transition probability matrix, then at equilibrium A is equal to ________.
\(\frac { 1 }{ 4 } \)
\(\frac { 1 }{ 5 } \)
\(\frac { 1 }{ 6 } \)
\(\frac { 1 }{ 8 } \)
10.
If A = (1 2 3), then the rank of AAT is ________.
0
2
3
1
1.
(b)
singular
2.
(b)
0
3.
(b)
\(\frac { 10 }{ 3 } \)
4.
(a)
0
5.
(c)
inconsistent
6.
(c)
Consistent
7.
(a)
1
8.
(b)
A has at least one minor of order r which does not vanish
9.
(a)
\(\frac { 1 }{ 4 } \)
10.
(d)
1
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Tamilnadu Stateboard 12th Standard Subjects

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Chemistry

Physics

Biology

Computer Science

Business Maths and Statistics

Economics

Commerce

Accountancy

History

Computer Applications

Biology

Computer Technology

Computer Applications

Computer Science

Business Maths and Statistics

Commerce

Economics

Maths

Chemistry

Physics

Computer Technology

History

Accountancy

Tamil

English

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