Matrices

7.1Define a matrix#

Press F3 (MAT) in Run-Matrix. The list shows Mat A to Mat F with their sizes. Move to one and press EXE; enter the number of rows (m) and columns (n), move down to Execute and press EXE, then fill in the grid, pressing EXE after each value. Press EXIT to leave.

Example 7.1

Define a 2×2 matrix

1. Open MAT and choose Mat A with EXE; accept 2 rows and 2 columns and Execute.

   F3EXE▼▼EXE

   

2. Type 1, 2, 3, 4.

   1EXE2EXE3EXE4EXE

7.2Determinant, inverse and arithmetic#

OPTN, MAT lists Mat A to Mat C on the first page and Det, Trn, Iden on it too; the second page (F6) holds Mat D to F, Ref and Rref. Insert a matrix, then calculate as usual.

$$\det\begin{pmatrix}a&b\\c&d\end{pmatrix}=ad-bc$$

Example 7.2

Determinant

1. Define Mat A first.

   F3EXE▼▼EXE1EXE2EXE3EXE4EXEEXITEXIT

2. OPTN, MAT, Det, Mat A, EXE.

   OPTNF2F4F1EXE

Example 7.3

Inverse

1. Define Mat A first.

   F3EXE▼▼EXE1EXE2EXE3EXE4EXEEXITEXIT

2. OPTN, MAT, Mat A, then SHIFT ).

   OPTNF2F1SHIFTx⁻¹)EXE

Example 7.4

Matrix list shows size

1. Define Mat A, then open the MAT list.

   F3EXE▼▼EXE1EXE2EXE3EXE4EXEEXITEXITF3

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