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- Write each system as a matrix equation AX = B, with the variables in alphabetical order.4m - 3n = 11, m + 6n = -22a - c = 9, b + 5c = 0, a - 4b + 3c = 73y = 2x - 8, x + 7 = -4yp - 2r + s = 5, 3q - p = 4s
- Write the system that each matrix equation stands for.
- Consider the system 3x - y + 2z = 4, \qquad x + 5z = -3, \qquad 2y - z = 6
- Decide whether each system can be written as a matrix equation AX = B with X = bmatrix x \\ y bmatrix.
- Mateo wants to write the system 4x - z = 1, y + 2z = 7, 5x - 3y = 0 as a matrix equation.
- Diego roasts coffee and is mixing a house blend of Brazil, Ethiopia and Sumatra beans.
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Writing a system as a matrix equation: the lesson ›More Chapter 11 worksheets: Matrices
- 11.1Rows, columns and dimensions
- 11.2Adding, subtracting and scaling matrices
- 11.3Matrix multiplication
- 11.4Writing a system as a matrix equation
- 11.5Augmented matrices and row operations
- 11.6Echelon forms and Gaussian elimination
- 11.7Solving a system by row reduction: one, none or infinitely many solutions
- 11.8Computing a determinant
- 11.9Inverse of a 2 by 2 matrix, and solving with it
- 11.10Cramer's rule
- 11.11The cross product