Review — Difficulty 2/10

Linear algebra · Eigenvalues and orthogonality

Review skills for this standard. Write answers where shown.

Together with a parent

1. Compute: [6 7; 8 9] + [7 6; 0 10] = ___ 2. Solve Ax = b for A = [[7, 1], [9, 8]], b = [10, 12] ___ 3. Is v = ⟨7, 9⟩ in span{⟨1,0⟩, ⟨0,1⟩}? ___

Written review

1. Compute: [8 9; 10 11] + [9 8; 0 12] = ___ 2. Solve Ax = b for A = [[9, 1], [11, 10]], b = [12, 14] ___ 3. Is v = ⟨9, 11⟩ in span{⟨1,0⟩, ⟨0,1⟩}? ___ 4. Find det([[10, 9], [8, 12]]) = ___ 5. Eigenvalues of [[9, 0], [0, 10]]: ___ 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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