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Mathematics, 05.06.2020 22:57 annyork03

Determine whether b can be written as a linear combination of Bold a Subscript Bold 1, Bold a Subscript Bold 2, and Bold a Subscript Bold 3. In other words, determine whether weights x 1, x 2, and x 3 exist, such that x 1Bold a Subscript Bold 1plusx 2Bold a Subscript Bold 2plusx 3Bold a Subscript Bold 3equalsb. Determine the weights x 1, x 2, and x 3 if possible. Let Bold a Subscript Bold 1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 3 EndMatrix ], Bold a Subscript Bold 2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 3 2nd Row 1st Column negative 4 3rd Row 1st Column 1 EndMatrix ], Bold a Subscript Bold 3equals[Start 3 By 1 Matrix 1st Row 1st Column 2 2nd Row 1st Column 1 3rd Row 1st Column 6 EndMatrix ], and bequals[Start 3 By 1 Matrix 1st Row 1st Column 2 2nd Row 1st Column 6 3rd Row 1st Column 5 EndMatrix ].

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