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2412 Pre-Calculus Chapter 11 Section 4 Equivalent, Add, Subtract, Multiply Matrices

2412 Pre-Calculus Chapter 11 Section 4 Equivalent, Add, Subtract, Multiply Matrices. Matrices are equivalent if all positions are equal. Addition & Subtraction They must be the same size. Combine the numbers that match.

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2412 Pre-Calculus Chapter 11 Section 4 Equivalent, Add, Subtract, Multiply Matrices

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  1. 2412 Pre-CalculusChapter 11 Section 4Equivalent, Add, Subtract, Multiply Matrices

  2. Matrices are equivalent if all positions are equal

  3. Addition & SubtractionThey must be the same size.Combine the numbers that match.

  4. Scaler MultiplicationMultiply a number in front by each term in the matrix

  5. Matrix Multiplication# in the rows must match # in columnMultiply Row entry by Column entry and add up to get the answer. Top Row Second Col Top Row Third Col Top Row First Col Bottom Row Second Col Bottom Row Third Col Bottom Row First Col

  6. Find each given:

  7. Inverse Notation: Property: (Multiplication gives the identity) Example: Are A and B inverses? Yes!

  8. Finding an inverse Augment the matrix with the identity. Use operations to change the original into the Identity Inverse!

  9. An Inverse Matrix can be used to solve a system of equations

  10. Chapter 11 Section 5Partial Fractions

  11. Separate into two parts

  12. Repeated Terms

  13. Quadratic Terms

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