Dawnbridge

Casio fx-CG50 field manual for IB Math

AI HL only · 36 of 44

36

Matrix arithmetic

AI HL

Store two matrices and evaluate a matrix expression such as A3B on the calculation screen.

Goal

Given ​A=[13​21​]​ and ​B=[21​03​], find ​A3B.

1

In Run-Matrix, press (▶MAT/VCT) to open the matrix editor. With Mat A highlighted press (DIM) and enter 2 then 2 for a 2 x 2 matrix. Type the entries 1, 2, 3, 1, pressing after each value, then .

RadNorm2
d/cReal
A12112231
ROW-OPROWCOLUMNEDIT
2

Move down to Mat B and define it the same way, (DIM) then 2, 2, with the entries 2, 0, 1, 3. Press twice to get back to the Run-Matrix entry line.

RadNorm2
d/cReal
B12120213
ROW-OPROWCOLUMNEDIT
3

On the entry line, insert the matrix name with → (MAT/VCT) → (Mat), then for A. Press for the cube, press , insert Mat B the same way ( gives B), and press .

MathRadNorm2
d/cReal
Mat A3×Mat B
[5673​5457​]
JUMPDELETE▶MAT/VCTMATH
Result

​A3B=[5673​5457​].

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    Given ​A=[21​11​]​ and ​B=[12​30​], find ​A3B.

  2. 2

    Given ​A=[12​−10​]​ and ​B=[30​12​], find ​A3B.

  3. 3

    Given ​A=[01​21​]​ and ​B=[23​10​], find ​A3B.