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Published on: 28/08/2019
Application of Matrices and Determinants
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.
If AT is the transpose of a square matrix A, then ___________
|A| ≠ |AT|
|A| = |AT|
|A| + |AT| =0
|A| = |AT| only
2.
3.
If A = \(\left[ \begin{matrix} 3 & 1 & -1 \\ 2 & -2 & 0 \\ 1 & 2 & -1 \end{matrix} \right] \) and A-1 = \(\left[ \begin{matrix} { a }_{ 11 } & { a }_{ 12 } & { a }_{ 13 } \\ { a }_{ 21 } & { a }_{ 22 } & { a }_{ 23 } \\ { a }_{ 31 } & { a }_{ 32 } & { a }_{ 33 } \end{matrix} \right] \) then the value of a23 is
0
-2
-3
-1
4.
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
5.
If A is a 3 \(\times\) 3 non-singular matrix such that AAT = ATA and B = A-1AT, then BBT =
A
B
I3
BT
6.
(adj A)T
7.
[adj A]
8.
\(\rho\) (A) ≠ \(\rho\) [(A|B)]
9.
\(\rho\) (A) = \(\rho\) [(A|B)] = 1 < number of unknowns
10.
\(\rho\) (A) = \(\rho\) [(A|B]) = 2 < number of unknowns
1.
(b)
|A| = |AT|
2.
(b)
3.
(d)
-1
4.
(d)
2A-1
5.
(c)
I3
6.
adj (AT)
7.
|A|n-1
8.
In consistent and has no solution
9.
Consistent with two parameter family of solution
10.
Consistent with one parameter family of solution
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Tamilnadu Stateboard 12th Standard Subjects
Maths
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
French
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