Linear Algebra: Ch 2 - Determinants (24 of 48) Lambda=? of det(A(Lambda(I))=0

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In this video I will find lambda=? of a A(2x2 matrix) such that |A-lambda(I)|=0.
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• Linear Algebra: Ch 2 -...

[@veronikamineev]

hi! i love you videos! its realy helpful i always look for them only:] i couldnt find anything about the caractaristics of the matrices.. CAR(A) what is it and how do i find it? thank you very much!

[@Clifffffffffford]

Thanks !

[@yasmine-m1x]

What is the signification of lambda for A

[@MichelvanBiezen]

There is nothing significant about it. It is just an exercise to become more familiar with how to handle and manipulate matrices.

[@prarabdhasharma7219]

Very good explanation

[@MichelvanBiezen]

Thank you.

[@tristiandebeer5570]

If A is a 4 × 4 matrix, then det (kA) = k4 det (A) .

[@tristiandebeer5570]

true or false ?

[@MichelvanBiezen]

If k is a constant, you can factor it out but it must be factored out from each element in the matrix, thus det(kA) = k det(A)

[@tristiandebeer5570]

so is it true or false :D

[@tristiandebeer5570]

If A is a 4 × 4 matrix, then det (kA) = k^A det (A)

[@Genesh]

rule 1 of determinants. if A is nxn, then det(CA)=(C^n)det(A), so your matrix should be (k^4)det(A).