Inverse of a Matrix and Its Applications — Practice Quiz
Telangana Open School (TOSS) · Class 12 · Mathematics
Try a 4-question quiz on Inverse of a Matrix and Its Applications for Telangana Open School (TOSS) Class 12 Mathematics: tap an answer to check it and see.
Interactive on Super Tutor
Studying Inverse of a Matrix and Its Applications? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.
Free trial, no card needed.
Quick Quiz: Inverse of a Matrix and Its Applications
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
If a matrix A has determinant zero, then it is called:
The inverse of a matrix exists only if the matrix is:
For a 2×2 matrix A, the adjoint is obtained by:
If A is a square matrix and |A| ≠ 0, then A⁻¹ is given by:
Sample Questions
The system of equations AX = B has a unique solution if:
Show answer
|A| ≠ 0
If the coefficient matrix A has non-zero determinant, the system has a unique solution given by X = A⁻¹B.
The minor M₁₂ of the matrix [[1,2],[3,4]] is:
Show answer
3
Minor M₁₂ is the determinant obtained by deleting row 1 and column 2, which leaves element 3. So M₁₂ = 3.
The cofactor C₁₁ of the matrix [[2,5],[4,3]] is:
Show answer
3
C₁₁ = (-1)¹⁺¹ × M₁₁ = 1 × |3| = 3.
If A is a 2×2 matrix and |A| = 5, then |Adj A| equals:
Show answer
5
For a 2×2 matrix, |Adj A| = |A|^(2-1) = |A| = 5.
+51 more questions on Inverse of a Matrix and Its Applications (Telangana Open School (TOSS) Class 12 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Inverse of a Matrix and Its Applications for Telangana Open School (TOSS) Class 12 Mathematics?
How many practice questions are there for Inverse of a Matrix and Its Applications?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Inverse of a Matrix and Its Applications
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Inverse of a Matrix and Its Applications chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Open School (TOSS) Class 12 Mathematics. Free to start, no card needed.