Matrices : Identity and Inverse of a 2x2 Matrix : ExamSolutions

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brilliant as always Stuart, keep making videos mate you are making a real difference.

MrEmbouy
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Good point. We should have a universal symbol. All the best for those end of year exams.

ExamSolutions_Maths
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No. You can only find inverses for square matrices. This is the method for 2x2 matrices.

ExamSolutions_Maths
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It is interesting to note that round brackets have been used for the matrices. In Australia, at least, we use square brackets because if students don't put enough of a curve in the brackets, it could be mistaken for the determinate of the matrix where we use straight lines. It is good revision as I have end of year exams coming up soon, and I really like the neatness of the writing and setout.

JLawrence
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thank you for your tutorials, they are ever-living!
Please, do some more on Norms..

sokhibtukhtaev
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Thank you so much for these videos. They are so helpful! I'm also revising for end of year exams and this is perfect for clarifying ideas. Thanks again!

cassandrahamill
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Awesome video; thank you very much :-)

flyeraerospace
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How come elements c and d don't switch places?

alexanderalden-fenn
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how different is a 3x3 matrix inverse ?

DwNzBladeZ
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Hello, Do you have a video on 3x3 matrix with inverse?

jeriwolfcr
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Casio fx-991ES saves so much reviewing time... I got it just in time.

persiangulfcat
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Matrices are the cornerstone of linear algebra so they're heavily used in Machine Learning algorithms :)

ozzyfromspace
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Thinking about the identity matrix geometrically, Matrix A multiplied by Matrix I means to transform I by A. This 'transformation' gives back A because I's columns contain [1 0] for i-hat and [0 1] for j-hat, which are the very same basis vectors used to describe the transformation of Matrix A itself. So scaling I's basis vectors by A's transformation (or by any vector/matrix) leaves A unmoved. It's akin to doing 0+m=m.

ASLUHLUHC
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Will this work for rectangular matrices?

herp_derpingson