56078e44-4876-4f7e-9de2-02a401414587 20 6 5 auto

&[DATE] &[TIME] - &[FILENAME]

w 10 0.417 0.583 22 mat :

sum 00013 mat transpose :

wht 11113 mat transpose λ * :

λ 235 :

The rules are respected ... the Dot vector
comes first as scalar then  multiplied by vector
This rule is not commutative sum w 1 col w 2 col * wht * + 57.131085 57.131085 57.131085 31 mat

NOT commutative sum wht w 1 col w 2 col * (* + #

v1 a b 21 mat :

v2 c d 21 mat :

Dot product v1 v2 * a c * b d * +

Dot product is a scalar w 1 col w 2 col * 0.243111

Scalar by vector  => vector elementwise
CONVENTIONAL Dot algebra. w 1 col w 2 col * wht * 57.131085 57.131085 57.131085 31 mat

Vector by dot does not evaluate wht w 1 col * w 2 col * #

Nested algebra  evaluates Dot wht w 1 col w 2 col * (* 57.131085 57.131085 57.131085 31 mat

Global eval(,) does not eval Dot wht w 1 col * w 2 col * eval #

eval(Dot algebra) to get the "Dot scalar" wht w 1 col w 2 col * eval * 57.131085 57.131085 57.131085 31 mat

vector => scaler ... scalar => vector  is commutative wht π * π wht * 12 mat 738.274274 738.274274 738.274274 31 mat 738.274274 738.274274 738.274274 31 mat 12 mat

v 310 + 14 - 510 * 31 mat :

w 2 v * 72 i * 18 - 31 mat + :

v 133 - 5031 mat

w 336 - 2 i * + 8231 mat

w - 33 - 62 i * - 82 - 31 mat

Add, multiply 3 v * w + 7215 - 2 i * + 23231 mat

Dot [inner] v w * 45476 i * -

Smath bugs in there

Cross product v w † 54100 i * - 5842126 i * + 31 mat

Vector Σ v sum 60

Magnitude w abs #

w abs 88.617 ≡

To be checked: do NOT agree with Mathcad 11

Complex magnitude w w * sqrt 88.572108 0.135483 i * -

w w * sqrt 88.617 ≡

Absolute magnitude w w * sqrt abs 88.572212

w w * 7853 ≡

w w * 784524 i * -

w w * abs 7845.036711

w w * abs sqrt 88.572212

M 01230253133 mat :

M transpose 03510322133 mat

Determinant M det 25

M 1 -^0.24 - 0.2 0.08 0.28 0.4 - 0.24 0.36 0.2 0.12 - 33 mat

M M 1 -^* 10001000133 mat

M 1 -^M * 10001000133 mat

Solving linear

x M 1 -^v * : 0.28 16.84 1.92 - 31 mat

NOT a solver setup v M 1 -^* #

Nesting arrays

a 1 el v :

a 2 el M :

a 3 el w :

a 133 - 5031 mat 01230253133 mat 336 - 2 i * + 8231 mat 31 mat

Pentium bug

41958353145727 / 1.33382044913624