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Nativity Girl’s Catholic School Mathematics test 2 for Grade 11C&D Students from
Instruction one: Choose the correct answer from the given alternatives.
21. If and , then which one of the following is the value of such that ?
A.
B.
C.
D.
2. If is singular matrix then the value of k is
A. 2
B.
C. 3
D
3. Let and . If and then what is the solution of the system ?
A.
B.
C.
D.
4. What is the determinant of ?
A. 20
B. 0
C. 16
D. 24
5. If A is a matrix with , then what is the ?
A.
B. 12
C. 36
D. 48
Instruction Two: Write the correct answer in the blank space provided below.
6. If , then and .
7. If is skew symmetric matrix then the value of
Instruction Three: workout (show necessary steps).
8. What should be the values of a and so that the system solution.
9. Find the inverse of (if it exists) using adjoint method?
10. Suppose and be matrices such that and , then find the

Ask by Bond Reid. in Ethiopia
Jan 23,2025

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The Deep Dive

If you think matrices are just collections of numbers, think again! The historical journey of matrices began back in ancient China, where they were first used for solving systems of linear equations, long before we had the term “matrix.” The groundbreaking work of mathematicians like Arthur Cayley and Hermann Grassmann in the 19th century transformed matrices into the powerful tools they are today, opening doors to advancements in engineering, computer science, and physics!
Now, let’s talk about how we actually use these mathematical constructs in our everyday lives! From algorithms that power social media feeds to video game graphics and financial modeling, matrices are everywhere! They help in image processing, representing data in machine learning, and even in cryptography to secure your online transactions. So, the next time you solve a math problem involving matrices, remember you’re tapping into something that’s crucial in our tech-driven world!

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