Valencian PAU Mathematics II Practice Questions - Valencian Community PAU Mathematics II Examination - Universitats GVA (Matemáticas II 2026) Exam - Valencian PAU Mathematics II Practice Questions - Valencian Community PAU Mathematics II Examination - Universitats GVA (Matemáticas II 2026) Exam

Question 1

Given the matrices A = [[1, 2], [0, 1]] and B = [[2, 0], [1, 3]], what is the result of the matrix square (A + B)^2?

[[11, 14], [7, 18]] [[9, 12], [5, 16]] [[11, 12], [6, 18]] [[10, 14], [7, 16]]

Correct Answer:

[[11, 14], [7, 18]]

Question 2

For which values of the real parameter 'a' does the matrix A = [[a, 1, 0], [1, a, 1], [0, 1, a]] fail to be invertible?

a = 0, a = sqrt(2), a = -sqrt(2) a = 0, a = 1, a = -1 a = 1, a = 2, a = -2 a = 0, a = 2, a = -2

Correct Answer:

a = 0, a = sqrt(2), a = -sqrt(2)

Question 3

Compute the inverse matrix A^(-1) for A = [[1, 0, 2], [2, -1, 3], [4, 1, 8]].

[[-11, 2, 2], [-4, 0, 1], [6, -1, -1]] [[-11, -4, 6], [2, 0, -1], [2, 1, -1]] [[11, -2, -2], [4, 0, -1], [-6, 1, 1]] [[-8, 2, 2], [-4, 1, 1], [6, -1, 0]]

Correct Answer:

[[-11, 2, 2], [-4, 0, 1], [6, -1, -1]]

Question 4

What is the rank of the matrix A = [[1, 2, 3], [2, 4, k], [3, 6, 9]] as a function of the parameter 'k'?

Rank is 1 if k = 6, and rank is 2 if k != 6. Rank is 1 for all real values of k. Rank is 2 if k = 6, and rank is 3 if k != 6. Rank is 3 for all k != 6, and rank is 0 if k = 6.

Correct Answer:

Rank is 1 if k = 6, and rank is 2 if k != 6.

Question 5

Find the matrix X that satisfies the matrix equation A * X = B, where A = [[2, 1], [5, 3]] and B = [[4, 1], [1, 2]].

[[11, 1], [-18, -1]] [[7, 5], [-19, -3]] [[-11, -1], [18, 1]] [[11, -18], [1, -1]]

Correct Answer:

[[11, 1], [-18, -1]]

Question 1

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Prepare with the Valencian PAU Mathematics II Practice Questions - Valencian Community PAU Mathematics II Examination - Universitats GVA (Matemáticas II 2026) Exam practice quiz. This question bank includes 100 questions covering matrix, find, value, rank, and parameter. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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Valencian PAU Mathematics II Practice Questions - Valencian Community PAU Mathematics II Examination - Universitats GVA (Matemáticas II 2026) Exam

This practice set contains 100 questions from the matching question bank and focuses on matrix, find, value, rank, and parameter. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

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Valencian PAU Mathematics II Practice Questions - Valencian Community PAU Mathematics II Examination - Universitats GVA (Matemáticas II 2026) Exam

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