# fcla

committed 960c29d

Sage MISLE, nonexistent "CINMN" acronym to "CINM" (Bruno Mello)

# changes.txt

` Typo: Proof PEEF, second paragraph, insert "product" (Anna Dovzhik)`
` Typo: Solution MO.T13 "1<=i<=n" to "1<=j<=n" (Anna Dovzhik)`
` Typo: Solution MISLE.C27 space in "at" (Jenna Fontaine)`
`+Typo: Sage MISLE, nonexistent "CINMN" acronym to "CINM" (Bruno Mello)`
` `
` `
` `

# src/section-MISLE.xml

` `
` <sageadvice acro="MISLE" index="matrix inverse, system of equations">`
` <title>Matrix Inverse, Systems of Equations</title>`
`-We can use the computational method described in this section in hopes of finding a matrix inverse, as <acroref type="theorem" acro="CINMN" /> gets us halfway there.  We will continue with the matrix from <acroref type="example" acro="MI" />.  First we check that the matrix is nonsingular so we can apply the theorem, then we get <q>half</q> an inverse, and verify that it also behaves as a <q>full</q> inverse by meeting the full definition of a matrix inverse (<acroref type="definition" acro="MI" />).`
`+We can use the computational method described in this section in hopes of finding a matrix inverse, as <acroref type="theorem" acro="CINM" /> gets us halfway there.  We will continue with the matrix from <acroref type="example" acro="MI" />.  First we check that the matrix is nonsingular so we can apply the theorem, then we get <q>half</q> an inverse, and verify that it also behaves as a <q>full</q> inverse by meeting the full definition of a matrix inverse (<acroref type="definition" acro="MI" />).`
` <sage>`
` <input>A = matrix(QQ, [[ 1,  2,  1,  2,  1],`
`                 [-2, -3,  0, -5, -1],`
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