Mathegoras

Vectors and matrices › Rank, eigenvalues and linear maps › Coordinates in a basis

Coefficients of a vector in a basis

High school · ●●○○○ 20 pts

Given vectors a⃗=(1,−1)\vec{a} = (1, -1), b⃗=(2,1)\vec{b} = (2, 1) and c⃗=(−2,1)\vec{c} = (-2, 1), suppose c⃗=xa⃗+yb⃗\vec{c} = x\vec{a} + y\vec{b} with x,y∈Rx, y \in \mathbb{R}. Find x−yx - y.

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plane vectorssystems of linear equationsvector coordinates