The first two columns xj, X2 of X w dim Span(x1, X2, X3, X4) = 2. SECTION 3.6 EXERCISES 1. For each of the following matrices, find a basis for the row space, a basis for the column space, and a basis...


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The first two columns xj, X2 of X w<br>dim Span(x1, X2, X3, X4) = 2.<br>SECTION 3.6 EXERCISES<br>1. For each of the following matrices, find a basis for<br>the row space, a basis for the column space, and a<br>basis for the null space.<br>1<br>3 2<br>2<br>4<br>(а)<br>1<br>4<br>7<br>8<br>-3<br>1<br>2<br>(b)<br>1<br>-1<br>4<br>-3<br>8<br>-2<br>3<br>1<br>3<br>2<br>(c)<br>2<br>1<br>4<br>5<br>6<br>2. In each of the following, determine the dimension<br>of the subspace of R3 spanned by the given vectors.<br>2<br>1<br>3<br>2<br>2<br>(а)<br>422<br>

Extracted text: The first two columns xj, X2 of X w dim Span(x1, X2, X3, X4) = 2. SECTION 3.6 EXERCISES 1. For each of the following matrices, find a basis for the row space, a basis for the column space, and a basis for the null space. 1 3 2 2 4 (а) 1 4 7 8 -3 1 2 (b) 1 -1 4 -3 8 -2 3 1 3 2 (c) 2 1 4 5 6 2. In each of the following, determine the dimension of the subspace of R3 spanned by the given vectors. 2 1 3 2 2 (а) 422

Jun 03, 2022
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