Determine if the given Vector Subspace is LINEARLY INDEPENDENT IN THE REQUESTED VECTOR SPACE: [1 2] [5 (Item 24) }|0 1 41 [3 0] 5 ,1 3 1 in (M(3x2) [R], +;). 1 4) [4 10] l2 3. (Item 26){ sin (2x),...


Determine if the given Vector Subspace is LINEARLY<br>INDEPENDENT IN THE REQUESTED VECTOR SPACE:<br>[1 2] [5<br>(Item 24) }|0 1<br>41 [3 0]<br>5 ,1 3<br>1<br>in (M(3x2) [R], +;).<br>1 4) [4 10] l2 3.<br>(Item 26){ sin (2x), cos(2x), sin (x) · cos(x) } in (F[0,T], R|], +;).<br>note:<br>(F[1, R], +,;)<br>Vector Space of Continuous Functions<br>over Reals : (

Extracted text: Determine if the given Vector Subspace is LINEARLY INDEPENDENT IN THE REQUESTED VECTOR SPACE: [1 2] [5 (Item 24) }|0 1 41 [3 0] 5 ,1 3 1 in (M(3x2) [R], +;). 1 4) [4 10] l2 3. (Item 26){ sin (2x), cos(2x), sin (x) · cos(x) } in (F[0,T], R|], +;). note: (F[1, R], +,;) Vector Space of Continuous Functions over Reals : ("R"). Vector Space of Matrices of "m rows" and "n columns" over the Reais ("R"). (M[R], +,;) (m xn)

Jun 04, 2022
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