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Learning Goal

‹3 of 5 in this skill_area›

Matrix operations (add, subtract, scalar multiply, multiply)

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

"N 406. Add two matrices that have whole number entries" "N 505. Add and subtract matrices that have integer entries" "N 607. Use relations involving addition, subtraction, and scalar multiplication of vectors and of matrices" "N 705. Multiply matrices" "N 706. Apply properties of matrices and properties of matrices as a number system" "Note: A matrix as a representation of data is treated here as a basic table."

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"N 406. Add two matrices that have whole number entries"
"N 505. Add and subtract matrices that have integer entries"
"N 607. Use relations involving addition, subtraction, and scalar multiplication of vectors and of matrices"
"N 705. Multiply matrices"
"N 706. Apply properties of matrices and properties of matrices as a number system"
"Note: A matrix as a representation of data is treated here as a basic table."

What you'll learn

  1. Add, subtract, scalar-multiply and multiply matrices, first deciding from their dimensions whether the operation is defined
  2. State a matrix's dimensions as `rows x columns` and identify the entry at a given row and column
  3. Add and subtract matrices of the same dimensions and multiply a matrix by a scalar, stating that a sum or difference of differently sized matrices is undefined
  4. Determine from dimensions alone whether `AB` is defined, and state the product's dimensions
  5. Compute `AB` by the row-by-column rule for `2x2` by `2x2` and `2x2` by `2x1`
  6. Show with a specific pair that `AB ≠ BA`, and state the identity matrix's effect under multiplication

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