• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Linear Algebra With Applications
Found in: Page 39
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

Answers without the blur.

Just sign up for free and you're in.


Short Answer

There exists a2×2 matrix such that A[12]=[34]

True, there exist a2×2 matrix A such that role="math" localid="1659642050851" A12=34

See the step by step solution

Step by Step Solution

Step 1:Taking the matrix

Suppose the matrix A is.


Now according to the given equation,


Step 2: Justification of answer

Put the value of A matrix in the above equation we get.


After solving the equation we get


Now on equating the value of matrix we get


On solving the equations we get the value of variables


Where, are free variables which can have any value. For instance let the value of b,d=1

It implies a=1,c=2

Thus, we get the matrix


Hence, it is truethat there exist a 2×2matrix A such that A12=34

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.