Review — Difficulty 4/10

Linear algebra · Eigenvalues and orthogonality

Review skills for this standard. Write answers where shown.

Together with a parent

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⟩}? ___

Written review

1. Compute: [10 11; 12 13] + [11 10; 0 14] = ___ 2. Solve Ax = b for A = [[11, 1], [13, 12]], b = [14, 16] ___ 3. Is v = ⟨11, 13⟩ in span{⟨1,0⟩, ⟨0,1⟩}? ___ 4. Find det([[12, 11], [10, 14]]) = ___ 5. Eigenvalues of [[11, 0], [0, 12]]: ___ 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
• [ ] Interprets linear maps geometrically

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