How to Prove that a Matrix is Invertible

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In this video I will teach you how you can show that a given matrix is invertible. In this video I will do a worked example of a 3x3 matrix and explain the procedure for showing that a 2x2 matrix is invertible as well.

Fundamentally the test for invertibility is the determinant. This method can also be used to show that a matrix is singular (i.e. not invertible).
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Omg this is the only video I think is clear and easy to understand on youtube so far

xindiwu
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This is a cool method I've never seen before, thanks!

mytypeofjordan
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This video helps but it didn’t convince me that matrix is not a mathematical tic-tac-toe

sproutdood
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Thank you, this video was really helpful.

ilyasamantaev
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is it the same method for a 4x4 matric, a 5x5 matrix, etc?

ishaanpatil