Matrices Practice Exam – Complete Solutions | PinoyBIX

You already took the 30-item practice exam on the Matrices and Determinants Series Index Page. This post gives you the full solution for every item, written the way you should show your work on exam day. No theory recap. Just the steps, the answer, and the one trap to watch for on each item. If you got something wrong, find it below and read slowly. Then close this page and solve a similar problem from scratch.

Part A — Matrix Fundamentals and Operations (Items 1 to 6)

Full lesson: Part 1 — Matrix Fundamentals and Operations

Item 1. What is of ?

Choices: (A)   (B)   (C)   (D)

Given:

Find: Element

Solution:

Step 1: The subscript notation means row , column . For , go to row 2, column 3.

✓ ANSWER: C —

Examiner note: Row index always comes first. is not the same as . In this matrix, . Choice D is the trap for students who read the subscripts in the wrong order.

What to Do With Your Score

Go back to the Series Index Page and check your raw score against the interpretation table there. If you missed three or more items in any single part, that is the part that needs another pass — not this solutions page, but the full post with all 10 worked problems. Work through those problems without looking at the solutions first. That is the only kind of practice that actually moves your score on exam day.

If you are reviewing for EE or CE, Part D carries the most direct weight. Mesh analysis and stiffness matrix problems show up in almost every testing cycle. If you are reviewing for ECE, give extra attention to Part E — eigenvalues appear in control systems and signal processing questions that other boards do not test.

Series navigation: Part 1 | Part 2 | Part 3 | Part 4 | Part 5 | Series Index

Published by PinoyBIX.org — Engineering Education for Every Filipino Student. Mathematics · Board Exam Review · Premium Content.

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