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4. Show that there do not exist constants C1, C2 and c3 which satisfy: (1; -1; 4) = C1( 2; 3; 5) +c2(-1; 0; 6)+c3(1; 3; 11)

4. Show that there do not exist constants C1, C2 and c3 which satisfy: (1; -1; 4) = C1( 2; 3; 5) +c2(-1; 0; 6)+c3(1; 3; 11)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 56EQ
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(0; 1;0); ez = (1; 0; 0); %3D Write down the vectors ( 3;. -2; 1) as a linear combination the e; e2 and e3. 3. Find the constants c, and c2 such that: (3; 5) = c1( 1; -2) +c2( 2; -3) %3D 4. Show that there do not exist constants C1, C2 and c3 which satisfy: (1; -1; 4) = c1( 2; 3; 5) +c2(-1; 0; 6)+c3(1; 3; 11) Opening file in Protected View ENG 20 18°C a 99+
Transcribed Image Text:(0; 1;0); ez = (1; 0; 0); %3D Write down the vectors ( 3;. -2; 1) as a linear combination the e; e2 and e3. 3. Find the constants c, and c2 such that: (3; 5) = c1( 1; -2) +c2( 2; -3) %3D 4. Show that there do not exist constants C1, C2 and c3 which satisfy: (1; -1; 4) = c1( 2; 3; 5) +c2(-1; 0; 6)+c3(1; 3; 11) Opening file in Protected View ENG 20 18°C a 99+
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