Chapter 15 - Linear Algebra
| Verbose | Brief | Super-Brief | |
|---|---|---|---|
| Linear Algebra | |||
| Matrix | |||
| Begin | Start [Num Rows] by [Num Cols] Matrix | Start [Num Rows] by [Num Cols] Matrix | [Num Rows] by [Num Cols] Matrix |
| End | End Matrix | End Matrix | End Matrix |
| Determinant | |||
| Begin | Start [Num Rows] by [Num Cols] Determinant | Start [Num Rows] by [Num Cols] Determinant | [Num Rows] by [Num Cols] Determinant |
| End | End [Num Rows] by [Num Cols] Determinant | End [Num Rows] by [Num Cols] Determinant | End [Num Rows] by [Num Cols] Determinant |
| Begin Row | [Row # as Ordinal] Row | [Row # as Ordinal] Row | [Row # as Ordinal] Row |
| Begin Cell / Column | [Column # as Ordinal] Column | [Column # as Ordinal] Column | [Column # as Ordinal] Column |
| No Content in Cell | Blank | Blank | Blank |
| Binomial Coefficient | |||
| Begin | Start Binomial Coefficient | Start Binomial Coefficient | Binomial Coefficient |
| Over | Choose | Choose | Choose |
| End | End Binomial Coefficient | End Binomial Coefficient | End Binomial Coefficient |
| Ambiguous Binomial Coefficient Or Matrix | |||
| Begin | Start Binomial Coefficient Or Matrix | Start Binomial Coefficient Or Matrix | Start Binomial Coefficient Or Matrix |
| Over | Choose | Choose | Choose |
| End | End Binomial Coefficient Or Matrix | End Binomial Coefficient Or Matrix | End Binomial Coefficient Or Matrix |
Rule 15.1 - ID: linearalg_MAT1
Applies To
Matrices
Example 1 linearalg_MAT1-05
Example Image:
|
verbose |
Start 3 By 3 Matrix
1st Row
1st Column
x plus a 2nd Column
x plus b 3rd Column
x plus c 2nd Row
1st Column
y plus a 2nd Column
y plus b 3rd Column
y plus c 3rd Row
1st Column
z plus a 2nd Column
z plus b 3rd Column
z plus c EndMatrix
|
 |
|---|---|---|
|
brief |
Start 3 By 3 Matrix
1st Row
1st Column
x plus a 2nd Column
x plus b 3rd Column
x plus c 2nd Row
1st Column
y plus a 2nd Column
y plus b 3rd Column
y plus c 3rd Row
1st Column
z plus a 2nd Column
z plus b 3rd Column
z plus c EndMatrix
|
|
|
superbrief |
3 By 3 Matrix
1st Row
1st Column
x plus a 2nd Column
x plus b 3rd Column
x plus c 2nd Row
1st Column
y plus a 2nd Column
y plus b 3rd Column
y plus c 3rd Row
1st Column
z plus a 2nd Column
z plus b 3rd Column
z plus c EndMatrix
|
|
Rule 15.2 - ID: linearalg_DET1
Applies To
Determinants
Description
Example 1 linearalg_DET1-01
Example Image:
|
verbose |
Start 2 By 2 Determinant
1st Row
1st Column
a plus 1 2nd Column
b 2nd Row
1st Column
c 2nd Column
d EndDeterminant
equals left-parenthesis a plus 1 right-parenthesis d minus b c |
|
|---|---|---|
|
brief |
Start 2 By 2 Determinant
1st Row
1st Column
a plus 1 2nd Column
b 2nd Row
1st Column
c 2nd Column
d EndDeterminant
equals left-p'ren a plus 1 right-p'ren d minus b c |
|
|
superbrief |
2 By 2 Determinant
1st Row
1st Column
a plus 1 2nd Column
b 2nd Row
1st Column
c 2nd Column
d EndDeterminant
equals L p'ren a plus 1 R p'ren d minus b c |
|
Rule 15.3 - ID: linearalg_EMPT1
Description
The word "blank" must be spoken when a cell contains no content.
Rule 15.4 - ID: linearalg_QCK1
Applies To
Matrices and Determinants containing exactly a single letter or number in each cell.
Example 1 linearalg_QCK1-02
Example Image:
|
verbose |
Start 2 By 2 Determinant
1st Row
a
b 2nd Row
c
d EndDeterminant
equals a d minus b c |
|
|---|---|---|
|
brief |
Start 2 By 2 Determinant
1st Row
a
b 2nd Row
c
d EndDeterminant
equals a d minus b c |
|
|
superbrief |
2 By 2 Determinant
1st Row
a
b 2nd Row
c
d EndDeterminant
equals a d minus b c |
|
Rule 15.5 - ID: linearalg_BIN1
Applies To
Binomial Coefficients
Rule 15.6 - ID: linearalg_AMBG1
Applies To
Layouts that can be either binomial coefficients or 1 by 2 matrices.
Example 1 linearalg_AMBG1-01
Example Image:
|
verbose |
StartBinomialOrMatrix
x Choose
y EndBinomialOrMatrix
|
|
|---|---|---|
|
brief |
StartBinomialOrMatrix
x Choose
y EndBinomialOrMatrix
|
|
|
superbrief |
BinomialOrMatrix
x Choose
y EndBinomialOrMatrix
|
|