Review — Difficulty 5/10

Linear algebra · Systems and matrix algebra

Review skills for this standard. Write answers where shown.

Together with a parent

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⟩}? ___

Written review

1. Compute: [11 12; 13 14] + [12 11; 0 15] = ___ 2. Solve Ax = b for A = [[12, 1], [14, 13]], b = [15, 17] ___ 3. Is v = ⟨12, 14⟩ in span{⟨1,0⟩, ⟨0,1⟩}? ___ 4. Find det([[13, 12], [11, 15]]) = ___ 5. Eigenvalues of [[12, 0], [0, 13]]: ___ 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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