Question: A matrix B is said to be a square root of a matrix A if BB = A. (a) Find two square roots of (b)

A matrix B is said to be a square root of a matrix A if BB = A.
(a) Find two square roots of
A matrix B is said to be a square root

(b) How many different square roots can you find of

A matrix B is said to be a square root

(c) Do you think that every 2 × 2 matrix has at least one square root? Explain your reasoning.

2 2 9 0

Step by Step Solution

3.35 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Let B Then B 2 A implies that a 2 bc 2 ab bd 2 ac cd 2 bc d 2 2 Here a b c d 1 and a b c d 1 satis... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

938-M-L-A-E (1038).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!