Review — Difficulty 3/10

Linear algebra · Eigenvalues and orthogonality

Review skills for this standard. Write answers where shown.

Together with a parent

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⟩}? ___

Written review

1. Compute: [9 10; 11 12] + [10 9; 0 13] = ___ 2. Solve Ax = b for A = [[10, 1], [12, 11]], b = [13, 15] ___ 3. Is v = ⟨10, 12⟩ in span{⟨1,0⟩, ⟨0,1⟩}? ___ 4. Find det([[11, 10], [9, 13]]) = ___ 5. Eigenvalues of [[10, 0], [0, 11]]: ___ 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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