PU CSS 2026 Matrices and Determinants Free Quiz 3

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PU CSS 2026 Matrices and Determinants Free Quiz 3

PU CSS Quiz

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Navigator 10 Q

General

General 10 MCQs

21. What is Cramer's rule used for?

A. Using determinants B. Using matrix inversion C. Using Gaussian elimination D. Using substitution

22. What is the determinant of the coefficient matrix for 2x + y = 5, x - y = 1?

A. 3 B. -3 C. 2 D. -1

23. What is the formula for x in Cramer's rule?

A. x = det(A)/det(Ax) B. x = det(Ay)/det(A) C. x = det(Ax)/det(A) D. x = det(Ax) + det(A)

24. What is an inconsistent system?

A. No solution B. One solution C. Infinite solutions D. Consistent

25. What is true about a homogeneous system Ax = 0?

A. No solution B. Trivial solution (x = 0) C. One solution D. Infinite solutions

26. What is the rank of a matrix?

A. Maximum number of linearly independent rows or columns B. Number of non-zero rows C. Number of rows D. Number of columns

27. When is a matrix invertible?

A. det(A) = 0 B. det(A) ≠ 0 C. rank(A) = 0 D. A = Aᵀ

28. What is the adjoint of a matrix?

A. Inverse B. Determinant C. Adjoint D. Cofactor matrix

29. What is the formula for A⁻¹ using adjoint?

A. det(A) × adj(A) B. adj(A)/det(A) C. det(A)/adj(A) D. (1/det(A)) × adj(A)

30. What is a matrix with all elements zero called?

A. Identity matrix B. Zero matrix C. Scalar matrix D. Diagonal matrix

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