Mathcad Lecture #4 In-class Worksheet Vectors and Matrices 1 (Basics)
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- Horatio McCormick
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3 Dmonrion ro olmn B B B Dl olmn, ro ir olmn ro n hn olmn ro. B B B B B B K Poin Noi h o ro in h mil o B, o ro n olmn.. Soling Sm o Linr Eqion Eplnion Rll h mri mh n ol m o linr qion. m o linr qion i on in hih h ril (,, ) ppr onl o h por o. = = m o linr qion n rin h olloing mri orm. X = B hr = X = B = Th m o linr qion rin in hi orm h h olloing olion. X = B IX = B
4 X = B Th orr o h mlipliion mr. Th olion i - B no B - To rmin i olion i o m linr qion, k h rminn o h oiin mri (). I h rminn i non-ro, olion i. Dmonrion B B lol( B ) K Poin Mh n oin h nr in o, ing n inr or ing lol Boh r orr. lol r lgorihm hih m om imporn or lrg mri.. Oprion Wih Mri S Mri Toolr (nr Inr-oolr-mri) or mn mri oprion Bi Mri Mh Ri iion n rion To mri n n r onl i h r h m i. iion n rion i on lmn lmn o r mri o h m i Mlipliion To mri n mlipli i hir innr imnion r h m. Empl: * no *. Empl: * no * Th or imnion ll h i o h mri. Empl: * ill pro mri Rmmr h orr mr ih mri mlipliion! Error innr imnion on' mh
5 Diiion Thr i no mri iiion! Mlipl h inr o mo mri ro = ign. Ohr Mri Oprion Fnion ro() ol() mri(, ir, jr, i, j) gmn(, B, C, ) k(, B, C, ) Dripion Rrn h nmr o ro in mri Rrn h nmr o olmn in mri Cr n mri hih i porion o rr. Th porion oni o h lmn in ro ir hrogh jr n in olmn i hrogh j. Cr ingl mri ompri o or, B, C, ll ih h m nmr o ro, onn rom l o righ. Cr ingl mri ompri o or, B, C, ll ih h m nmr o olmn, onn rom op o oom. Er h nh olmn o mri olmn or. Tk h inr o mri. Tk h rminn o h mri. Th or o n ro pro. k gmn r r mri r Pri. I i i, in olion o h olloing o qion. =.. =.. = =
6 .... B. X lol( B )..... For h mri in lo, prorm h rq oprion (i poil). I prilr oprion i no poil, n o gi h ron h? X Y Z i. XY, YX, XZ, ZX ii. X, X,, - iii. X+Y, Y+X i. T, X T, Z T. Y-Z, Y-X i., X, Y, Z i. XY YX XZ ZX Innr imnion on' mh. ii. X X Innr imnion on' mh. Cn onl rmin h inr o qr mri. iii. X Y Y X i. T X T Z T. Y Z mri no m i Y X i. X Y Z Cn onl k rminn o qr mri.
7 . U h mri ool on h pl o in h olloing mri: ro onining h nri [ ] r h on ro o orm h olloing mri: n iionl olmn o h mri ih h nri [ ] o orm h olloing mri:
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