Question

1. If A = \begin{bmatrix} 1 & -2 & 3 & 2 \\ 7 & -6 & 5 & -1 \\ 0 & 2 & -3 & 4 \end{bmatrix}, determine a_{31}, a_{24}, a_{14}, a_{32}, a_{21}, and a_{34}. For Problems 2-6, write the matrix with the given elements. In each case, specify the dimensions of the matrix. 6. a_{12} = -1, a_{13} = 2, a_{23} = 3, a_{ij} = -a_{ji}, 1 ? i ? 3, 1 ? j ? 3. For Problems 7-9, determine tr(A) for the given matrix. 7. A = \begin{bmatrix} 1 & 0 \\ 2 & 3 \end{bmatrix} 8. A = \begin{bmatrix} 1 & 2 & -1 \\ 3 & 2 & -2 \\ 7 & 5 & -3 \end{bmatrix}

          1. If
A = \begin{bmatrix} 1 & -2 & 3 & 2 \\ 7 & -6 & 5 & -1 \\ 0 & 2 & -3 & 4 \end{bmatrix},
determine a_{31}, a_{24}, a_{14}, a_{32}, a_{21}, and a_{34}.
For Problems 2-6, write the matrix with the given elements.
In each case, specify the dimensions of the matrix.
6. a_{12} = -1, a_{13} = 2, a_{23} = 3, a_{ij} = -a_{ji},
1 ? i ? 3, 1 ? j ? 3.
For Problems 7-9, determine tr(A) for the given matrix.
7. A = \begin{bmatrix} 1 & 0 \\ 2 & 3 \end{bmatrix}
8. A = \begin{bmatrix} 1 & 2 & -1 \\ 3 & 2 & -2 \\ 7 & 5 & -3 \end{bmatrix}

1. If
A =
< b m a t r i x >
,
determine a31, a24, a14, a32, a21, and a34.
For Problems 2-6, write the matrix with the given elements.
In each case, specify the dimensions of the matrix.
6. a12 = -1, a13 = 2, a23 = 3, aij = -aji,
1 ? i ? 3, 1 ? j ? 3.
For Problems 7-9, determine tr(A) for the given matrix.
7. A =
< b m a t r i x >

8. A =
< b m a t r i x >

Added by Stephanie L.

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