Chapter 4: Q2. (page 185)

Khalid and Erica are finding the determinant of $[\begin{matrix} 8 & 3 \\ - 5 & 2 \end{matrix}]$ .
Who is correct? Explain your reasoning.

Short Answer

Expert verified

Khalid’s answer is correct and Erica’s answers is wrong because Erica did not subtract the products of two diagonals rather, she did the opposite as she added the product of two diagonals.

Step by step solution

- Define the determinant of second-order matrix

The determinant of second order matrix is found by calculating the difference of the product of the two diagonals, that is., $|\begin{matrix} a & b \\ c & d \end{matrix}| = a d - b c$ .

- Find the determinant

Apply the definition of the method of finding determinant of second order

matrix $|\begin{matrix} 8 & 3 \\ - 5 & 2 \end{matrix}|$ .

$\begin{matrix} |\begin{matrix} 8 & 3 \\ - 5 & 2 \end{matrix}| = 8 \times (2) - 3 (- 5) \\ = 16 + 15 \\ = 31 \end{matrix}$

- State the conclusion

Since Khalid’s answer is 31 and Erica’s answer is 1, therefore, Khalid’s answer is correct and Erica’s answers is wrong because Erica did not subtract the products of two diagonals rather, she did the opposite as she added the product of two diagonals.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Khalid and Erica are finding the determinant of $[\begin{matrix} 8 & 3 \\ - 5 & 2 \end{matrix}]$ .
Who is correct? Explain your reasoning.

Short Answer

Step by step solution

- Define the determinant of second-order matrix

- Find the determinant

- State the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Applied Mathematics

Geometry

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Khalid and Erica are finding the determinant of83−52.Who is correct? Explain your reasoning.

Short Answer

Step by step solution

- Define the determinant of second-order matrix

- Find the determinant

- State the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Applied Mathematics

Geometry

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Khalid and Erica are finding the determinant of $[\begin{matrix} 8 & 3 \\ - 5 & 2 \end{matrix}]$ .
Who is correct? Explain your reasoning.