MATH 1ZC3 Lecture Notes - Lecture 3: Mexican Peso, Mxr, Tiger Ii

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plumcockroach206

10 Jan 2019

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I eg x12g 32 0 can"thasnosolution solutionmutesco o o. 2x y 12 asoneofthe oo x o ifunknowns xn morethanequations m then equationshasinfinitelymanysolutions trivial solution allsolutions o a eg i 2 4 5 o. Areingeneral asystemwithmoreunknownsthanequations is either inconsistent 000d infinitesolution or. Amn entryin wwi column a man matrix matrix ofm row n columns notation towns x columnnext. In xn i matrix with thesame ofrowsandcolumns mindingnal. Trivet addition if 2matrixarethesamesizetheycanbeadded otherwise theanswer is undefined addcorrespondingentries ii"s. 2 matrix matrix if a is mxr and b is rxh thenc ab isthe mxnmatrix whose ci. My outsidedimensionsdeterminesthesizeofab mxn dotprodyn. gg nw q ga axxibxy. az ascala eg a l f i. P b a notdefined ast 34 2 3. I 16answerwouldbedifferentaswell e. g a e s4 a y"s it ba fi. Matrixformoflinearsystem e. g 3x 14 2 1 3 6 ix taxi equatalentto am xk. i. Coefficient metrix reverserewardcolumn nxm turningthe rowsofas intocolumns inanorder matrixtranspose.

Related Questions

x - y + 2z = 0

3x + 4y + az = 0

2x + by + 4z = 0

show that the system of equations has a non-trivialsolution either a = 6 or b = -2.

Find the general solution to the system of equations whena = 6.

Let A =

7 -8 0

4 -5 0

-1 1 1

If possible, find a diagonal matrix C and an invertiblematrix B such that A = BCB^-1

I have found the characteristic polynomial of A, alongwith the eigenvalues/vectors. However I just don't understand thisquestion, and my notes/textbook is completely useless! I assume thetwo matrices A and C will be similar, thus have the sameeigenvalues. But how am I supposed to show that matrix!?

Consider you have a 3x3 matrix like this:

a b 0

0 a b

0 0 a