Correct and detailed answer will be Upvoted else downvoted. Thank you! **Matrix Algebra Problem**Let $ A, B, C $ be square invertible matrices satisfying $ BAC = A^2C $. Assume that $\det A = -3$ and $\det C = 2$. Find a formula for $ B $ and calculate the determinant of $ B $.**Options:**Select one:a. None of the mentioned. b. $ B = ACA^{-1} $, $\det B = 18$ c. $ B = CA^{-1} $, $\det B = -6$ d. $ B = C $, $\det B = 2$ e. $ B = A $, $\det B = -3$---This problem challenges the understanding of matrix algebra, particularly the properties of determinants and the manipulation of invertible matrices. The correct answer will derive from carefully following the properties and operations of determinants and matrix inverses.

Given that: BAC=A2C and detA=-3, detC=2

Answered: rrect and detailed answer w

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rrect and detailed answer w

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.5: Determinants

Problem 79E

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Correct and detailed answer will be Upvoted else downvoted. Thank you!

**Matrix Algebra Problem**

Let $ A, B, C $ be square invertible matrices satisfying $ BAC = A^2C $. Assume that $\det A = -3$ and $\det C = 2$. Find a formula for $ B $ and calculate the determinant of $ B $.

**Options:**

Select one:

a. None of the mentioned.
b. $ B = ACA^{-1} $, $\det B = 18$
c. $ B = CA^{-1} $, $\det B = -6$
d. $ B = C $, $\det B = 2$
e. $ B = A $, $\det B = -3$

---

This problem challenges the understanding of matrix algebra, particularly the properties of determinants and the manipulation of invertible matrices. The correct answer will derive from carefully following the properties and operations of determinants and matrix inverses.

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