Solutions - U.I.U.C. Math
... Solution: TRUE. Since {v1 , v2 , v3 } is linearly independent, the only way to write the zero vector as a linear combination of v1 , v2 , and v3 is 0v1 + 0v2 + 0v3 = 0. Consider writing the zero vector as a linear combination of {kv1 , kv2 , kv3 }. That is, what c1 , c2 , and c3 satisfy c1 kv1 + c2 ...
... Solution: TRUE. Since {v1 , v2 , v3 } is linearly independent, the only way to write the zero vector as a linear combination of v1 , v2 , and v3 is 0v1 + 0v2 + 0v3 = 0. Consider writing the zero vector as a linear combination of {kv1 , kv2 , kv3 }. That is, what c1 , c2 , and c3 satisfy c1 kv1 + c2 ...
Tutorial 5
... (apply + (map car matrix)) (sum-Nth-col (map cdr matrix) (- N 1)))) 5. Write a procedure mult to perform multiplication of a matrix by a ...
... (apply + (map car matrix)) (sum-Nth-col (map cdr matrix) (- N 1)))) 5. Write a procedure mult to perform multiplication of a matrix by a ...
Slide 2.2
... ELEMENTARY MATRICES An interchange of rows 1 and 2 of A produces E2A, and multiplication of row 3 of A by 5 produces E3A. Left-multiplication by E1 in Example 1 has the same effect on any 3 n matrix. Since E1 I E1, we see that E1 itself is produced by this same row operation on the iden ...
... ELEMENTARY MATRICES An interchange of rows 1 and 2 of A produces E2A, and multiplication of row 3 of A by 5 produces E3A. Left-multiplication by E1 in Example 1 has the same effect on any 3 n matrix. Since E1 I E1, we see that E1 itself is produced by this same row operation on the iden ...
