Linear combination & linear independence (3D)

About this app

r·a + s·b + t·c as a vector chain: the span is a line, a plane or all of space. Moving c into the plane of a and b collapses the space grid to a plane, det = 0 and a non-trivial zero chain appears. Decomposition mode F = r·a + s·b, graphically via the parallelogram and as a linear system.

Subject: Linear algebra

More from Linear algebra

• Eigenvectors
• Gaussian elimination step by step
• Matrix × vector
• Matrix multiplication
• Tesseract — the cube of the fourth dimension (3D)
• Vector workshop

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