jerri-2-4

jerri-2-4 - Section 2.4 n Vectors in R & Ax = b A vector is...

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Section 2.4 Vectors in R n & Ax = b A vector is a single row or a single column matrix. We'll use columns. The dimension of a vector is the number of elements in the column. R n is the set of all n- dimensional vectors.

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1 i . where x are real numbers . . n n x R x     =    Examples 2 1 is a vector in R 2 3 1 2 is a vector in R 3 4 1 2 is a vector in R 9 3
Addition & Scalar Multiplication of Vectors It's just like working with matrices. Examples (a) 13 24  +   4 6   =     (b) 1 2 2 2 4 = (c) 11 5 01 2 ab   +=     Find a and b . 5 02 b 5 2 b + = a + b = 5 b = 2 so a = 3.

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(d) 12 21 4 31 6 aa  +=   Find a 1 & a 2 . 4 6      4 6 −+ = + 24 36 = 4 6 1 1 2 R 1 2 6 −− 3 R R
1 12 2 5 00 2  −−   2

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This note was uploaded on 11/11/2008 for the course MATH 1114 taught by Professor Jhengland during the Fall '08 term at Virginia Tech.

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jerri-2-4 - Section 2.4 n Vectors in R & Ax = b A vector is...

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