Solution Found!
New solution: Find a basis for each of the spaces in Exercises 16 through 9 and
Chapter 4, Problem 31(choose chapter or problem)
QUESTION:
Find a basis for each of the spaces in Exercises 16 through 9 and determine its dimension.The space of all 2 x 2 matrices S such that
Questions & Answers
QUESTION:
Find a basis for each of the spaces in Exercises 16 through 9 and determine its dimension.The space of all 2 x 2 matrices S such that
ANSWER:Step 1 of 3
Given that
Let and substitute in the given equation as follows:
We know that if two matrices are equal then then corresponding elements are equal.
By use this, we get the elements as follows:
c=a, d=-b, a=c, and b=-d
The given set is obtained from the matrices which can be written as follows: