Skip to main content
Super TutorResources
Chapter 7 of 13
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Practice Quiz

Applications of Matrices and Determinants

ICSE · Class 12 · Mathematics

Practice quiz for Applications of Matrices and Determinants — ICSE Class 12 Mathematics. MCQs and questions with answers to test your preparation.

101 questions28 flashcards5 concepts

Interactive on Super Tutor

Studying Applications of Matrices and Determinants? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.

Try Super Tutor — Free

1,000+ Class 12 students started this chapter today

An illustration showing a triangle with its vertices labeled, alongside the determinant formula used to calculate its area.
Super Tutor

This is just one of 5+ visuals inside Super Tutor's Applications of Matrices and Determinants chapter

Explore the full set

Quick Quiz: Applications of Matrices and Determinants

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

A system of equations AX = B is said to be consistent if:

2

A system of equations AX = B is said to be inconsistent if:

3

If |A| ≠ 0, the system AX = B has:

4

The unique solution of AX = B (when |A| ≠ 0) is given by:

101 Questions·
multiple choicetrue false

Sample Questions

1multiple choice
1 marks

A system AX = O (where O is the zero matrix) is called:

Show answer

Homogeneous

A system is homogeneous when all constant terms are zero, i.e., B = O.

2true false
1 marks

A homogeneous system AX = O is always consistent.

Show answer

True

X = O (trivial solution) always satisfies AX=O. So a homogeneous system always has at least one solution and is therefore always consistent.

3multiple choice
1 marks

The formula for A⁻¹ in terms of adj A is:

Show answer

A⁻¹ = adj A / |A|

A⁻¹ = (adj A)/|A|. This requires |A| ≠ 0.

4multiple choice
1 marks

If C_ij is the cofactor of element a_ij, then the cofactor C_ij equals:

Show answer

(−1)^(i+j) × M_ij

Cofactor = (−1)^(i+j) × minor. The sign alternates in a checkerboard pattern.

+97 more questions available

Practice All

Frequently Asked Questions

What are the important topics in Applications of Matrices and Determinants for ICSE Class 12 Mathematics?
Key topics in Applications of Matrices and Determinants include Decision Tree for Determining System Consistency, Complete Overview of Matrices and Determinants Applications, Mind map showing the three main branches of the chapter: consistency analysis, matrix solving methods, and coordinate geometry applications. These are the concepts ICSE Class 12 examiners draw on most — study them first, then practise related questions.
How to score full marks in Applications of Matrices and Determinants — ICSE Class 12 Mathematics?
Understand the core concepts first, then work through the 101 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Applications of Matrices and Determinants

All 13 chapters — ICSE Class 12 Mathematics Practice Quiz

For serious students

Get the full Applications of Matrices and Determinants chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 12 Mathematics.

Try Super Tutor Free
Try the full chapter — Free