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fix: correct typos #29

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Merged
vEnhance merged 2 commits into from
Feb 17, 2026
Merged

fix: correct typos #29

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71effa6
Update vectors.typ
shivTHEmath Feb 17, 2026
6147b84
fix: typo in texsp square systems
shivTHEmath Feb 17, 2026
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4 changes: 2 additions & 2 deletions src/basis.typ
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Expand Up @@ -536,8 +536,8 @@ using the word "determinant" in place of "basis".
#recipe(title: [Recipe for computing the number of solutions to a system of equations])[
Suppose you are asked to find the number of solutions to a square system
$
a_11 x_1 + a_12 x_2 + ... + a_1n x_n &= b_1 \
a_21 x_1 + a_22 x_2 + ... + a_2n x_n &= b_2 \
a_11 x_1 + a_12 x_2 + ... + a_(1n) x_n &= b_1 \
a_21 x_1 + a_22 x_2 + ... + a_(2n) x_n &= b_2 \
&dots.v \
a_(n 1) x_1 + a_(n 2) x_2 + ... + a_(n n) x_n &= b_n.
$
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2 changes: 1 addition & 1 deletion src/vectors.typ
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Expand Up @@ -230,7 +230,7 @@ But the sign carries a bit more information.
detmat(x_2, x_1; y_2, y_1) = -"area". $

- In 3D, the convention follows the right-hand rule:
suppose vectors $bf(v)_1$, $bf(v)_2$, $bf(v)_3$ are given it that order.
suppose vectors $bf(v)_1$, $bf(v)_2$, $bf(v)_3$ are given in that order.
Curl the fingers of your right hand from $bf(v)_1$ to $bf(v)_2$;
then the signed volume is positive if your thumb points in the direction of $bf(v)_3$
(as in @fig-parallelepiped, for example) and negative otherwise.
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