Review — Difficulty 1/10

Linear algebra · Eigenvalues and orthogonality

Review skills for this standard. Write answers where shown.

Together with a parent

1. Compute: [5 6; 7 8] + [6 5; 0 9] = ___ 2. Solve Ax = b for A = [[6, 1], [8, 7]], b = [9, 11] ___ 3. Is v = ⟨6, 8⟩ in span{⟨1,0⟩, ⟨0,1⟩}? ___

Written review

1. Compute: [7 8; 9 10] + [8 7; 0 11] = ___ 2. Solve Ax = b for A = [[8, 1], [10, 9]], b = [11, 13] ___ 3. Is v = ⟨8, 10⟩ in span{⟨1,0⟩, ⟨0,1⟩}? ___ 4. Find det([[9, 8], [7, 11]]) = ___ 5. Eigenvalues of [[8, 0], [0, 9]]: ___ 6. Interpret a linear transformation geometrically.

_See printable PDF for diagram._

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Skills checklist

• [ ] Solves linear systems with matrices
• [ ] Computes determinants and inverses when defined

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