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- Let A = \begin{bmatrix} 3 & -2 & 5 \\ 0 & 4 & -1 \end{bmatrix} \qquad B = \begin{bmatrix} -6 & 1 & 2 \\ 3 & -5 & 7 \end{bmatrix} \qquad C =…A + BA - 2BB + C-4C2A + 3B
- Solve for the matrix X:
- Find x and y so that 2\begin{bmatrix} x & 3 \\ y & 1 \end{bmatrix} - \begin{bmatrix} y & 4 \\ x & -3 \end{bmatrix} = \begin{bmatrix} 1 & 2 \\ 13 & 5…
- A hardware store keeps its paint stock as a matrix, with rows white, gray, blue and columns quart cans, gallon cans.
- Maya is asked to find 2A - 3B for A = \begin{bmatrix} 1 & -4 \\ 5 & 2 \end{bmatrix} \qquad B = \begin{bmatrix} 3 & -2 \\ -1 & 0 \end{bmatrix} Her…
- Let A = [a_ij], B = [b_ij] and C = [c_ij] be m × n matrices.
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Adding, subtracting and scaling matrices: 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