Q43. For which values of a, b, c, and... [FREE SOLUTION]

Chapter 4: Q43. (page 200)

For which values of a, b, c, and d will $A = [\begin{matrix} a & b \\ c & d \end{matrix}] = A^{- 1}$ ?

Short Answer

Expert verified

The obtained values are $a = 1$ , $b = 0$ , $c = 1$ and $d = 0$ .

Step by step solution

Step 1- Determine the approach that can be used

The identity matrix $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$ can have the inverse that is also an identity matrix.

– Determine the value of a, b, c and d by using the approach

Use the obtained approach and determine the value of a, b, c and d.

The obtained values are $a = 1$ , $b = 0$ , $c = 1$ and $d = 0$ .

Step 3- Make the conclusion

As the inverse of an identity matrix $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$ will be $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$ so obtained values are correct.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

For which values of a, b, c, and d will $A = [\begin{matrix} a & b \\ c & d \end{matrix}] = A^{- 1}$ ?

Short Answer

Step by step solution

Step 1- Determine the approach that can be used

– Determine the value of a, b, c and d by using the approach

Step 3- Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

91影视

For which values of a, b, c, and d willA=abcd=A-1?

Short Answer

Step by step solution

Step 1- Determine the approach that can be used

– Determine the value of a, b, c and d by using the approach

Step 3- Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

For which values of a, b, c, and d will $A = [\begin{matrix} a & b \\ c & d \end{matrix}] = A^{- 1}$ ?