For Problems 15-18, determine whether the given set S of vectors is a basis for M m × n ( ℝ ) . m = n = 2 : S = { [ − 3 1 0 2 ] , [ 3 − 5 6 1 ] , [ − 1 − 2 1 0 ] , [ 0 3 1 − 4 ] , [ 6 − 2 − 3 − 4 ] }
For Problems 15-18, determine whether the given set S of vectors is a basis for M m × n ( ℝ ) . m = n = 2 : S = { [ − 3 1 0 2 ] , [ 3 − 5 6 1 ] , [ − 1 − 2 1 0 ] , [ 0 3 1 − 4 ] , [ 6 − 2 − 3 − 4 ] }
Solution Summary: The author explains that the given set S of vectors is not a basis for M_2times 2(R).
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
This is from section 1.3 "Homogenous Equations" out of the textbook titled "Linear Algebra With Applications". If you could provide step by step instructions in how to do these problems, I would be grateful. Thanks!
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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