Coordinates with Respect to a Basis LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM=
<Text-field style="Heading 1" layout="Heading 1">Problem 7-5</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM= Express 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 as a linear combination of the vectors 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.
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM=
<Text-field style="Heading 1" layout="Heading 1">Solution from First Principles</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM= Form and solve the linear equations contained in 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 Form an augmented matrix via the construction < vector | vector | \342\213\257 > Context Menu: Solvers and Forms\342\211\273Row-Echelon Form\342\211\273Reduced LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM=
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