Determine whether the following sets are linearly dependent or linearlyindependent. (a) {(; )( )} . -9} in Maxa(R) 4 (b) {(- ).(- 9G -)} in M2x2(R) 4 (c) {x 3 + 2x2, -x2 + 3x + 1, x3 – x2 + 2x – 1} in...


Determine whether the following sets are linearly dependent or linearlyindependent.<br>(a) {(; )( )}<br>. -9} in Maxa(R)<br>4<br>(b) {(- ).(-<br>9G -)}<br>in M2x2(R)<br>4<br>(c) {x 3 + 2x2, -x2 + 3x + 1, x3 – x2 + 2x – 1} in P3(R)<br>(d) {x 3 – x, 2x2 + 4, -2x3 + 3x2 + 2x + 6} in P3(R)<br>(e) {(1, -1, 2), (1, -2, 1), (1, 1, 4)} in R3<br>(f) {(1, –1, 2), (2, 0, 1), (–1, 2, –1)} in R3<br>{(÷ ) ( -) (;<br>0.<br>2<br>).(- )} in Max2(R)<br>(g)<br>(m) {(-; ') (?<br>). -2)} in M2x2(R)<br>() (x 4 - х3 + 5x2 - 8х + 6, -х4 + х3 - 5х2 + 5х - 3,<br>x 4 + 3x2 – 3x + 5, 2x4 + 3x3 + 4x2 – x + 1, x3 – x + 2} in P4(R)<br>) (x4 - х3 + 5x2 - 8х + 6, -х4 + x3 - 5x2 + 5х - 3,<br>х4 + 3x2 - 3х + 5, 2х4 + х3 + 4x2 + 8х} in P4(R)<br>

Extracted text: Determine whether the following sets are linearly dependent or linearlyindependent. (a) {(; )( )} . -9} in Maxa(R) 4 (b) {(- ).(- 9G -)} in M2x2(R) 4 (c) {x 3 + 2x2, -x2 + 3x + 1, x3 – x2 + 2x – 1} in P3(R) (d) {x 3 – x, 2x2 + 4, -2x3 + 3x2 + 2x + 6} in P3(R) (e) {(1, -1, 2), (1, -2, 1), (1, 1, 4)} in R3 (f) {(1, –1, 2), (2, 0, 1), (–1, 2, –1)} in R3 {(÷ ) ( -) (; 0. 2 ).(- )} in Max2(R) (g) (m) {(-; ') (? ). -2)} in M2x2(R) () (x 4 - х3 + 5x2 - 8х + 6, -х4 + х3 - 5х2 + 5х - 3, x 4 + 3x2 – 3x + 5, 2x4 + 3x3 + 4x2 – x + 1, x3 – x + 2} in P4(R) ) (x4 - х3 + 5x2 - 8х + 6, -х4 + x3 - 5x2 + 5х - 3, х4 + 3x2 - 3х + 5, 2х4 + х3 + 4x2 + 8х} in P4(R)

Jun 04, 2022
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