Rows, Columns and Dimensions Worksheet with Answer Key

What's on the worksheet

1. Write out each matrix from its dimension and the rule for its entries.
   2 × 3, a_{ij} = j^2 - i3 × 3, b_{ij} = (-1)^{i + j}3 × 2, c_{ij} is the larger of i and j4 × 1 column vector, v_i = 2^i
2. Use this matrix.
3. Find x and y so that the two matrices are equal.
4. A matrix has 2 more columns than rows and 15 entries in all.
5. Say whether each statement is true or false.
6. Elena wrote four claims about G = \begin{bmatrix} 4 & 0 & -2 \\ 1 & 6 & 3 \end{bmatrix} Every claim is wrong.
7. A park map lists the trail distances, in kilometers, between four huts.