The set of 2 x 3 matrices M2x3 with standard matrix operations is a vector space. Task Select all sets that are subspace of M2x3 -214 + I5 - 2x1 - 12 - I3 – 374 – 3z5 + 2x6 211 - 312 + I3 + I5 211 +...


Hi. Can you solve this with explanation? I am beginner in algebra .


The set of 2 x 3 matrices M2x3 with standard matrix operations is a vector space.<br>Task<br>Select all sets that are subspace of M2x3<br>-214 + I5 -<br>2x1 - 12 - I3 – 374 – 3z5 + 2x6<br>211 - 312 + I3 + I5<br>211 + 12 + 23<br>3z6<br>-1<br>1<br>1<br>1.<br>-1<br>Is + 215 - 6<br>- I4 + 2x5 - 2z6.<br>I4<br>I5<br>I6<br>-3z1 – 312 + 2x3<br>-1<br>-2x2 - 14 + 215 – 316<br>-1<br>-I3 + I3 - 2x4 + 2z6.<br>-I1 + 212 - 3r3 - 2x4 + 25<br>1<br>%3D<br>271 + 2x2 – 213 – 214 + 2x5 + 216<br>1<br>2.<br>2x1 + 12 + I3 – 14 + 215<br>211 – 3z3 – 3z4 – 215<br>-I1 + 2z2 + 2a3 + 2x4 + z6<br>I5<br>I6<br>- 16<br>-1<br>I6<br>1.<br>%3D<br>-1<br>| 211 + 12 - 3r3 + 14 - I5 – 16<br>I6<br>3.<br>I4<br>I5<br>I3<br>|-2x1 - 3z3 - 4 - 3z5<br>I6<br>I4<br>I5<br>I1 - 213 – 314 – 15 + I6<br>| -371 + 12 – 213 – 314 – 316<br>I1<br>5.<br>I4<br>I5<br>-3z1 - 12 - T3 + 214 + 2x6<br>Iz + 2x3 – I4 – 215<br>|-211 + 12 - T4 + 2z5 + I6<br>-3z3 – 214 – Is + 216<br>6.<br>I4<br>I5<br>I6<br>|| || || ||<br>|| ||||<br>|| ||<br>4.<br>

Extracted text: The set of 2 x 3 matrices M2x3 with standard matrix operations is a vector space. Task Select all sets that are subspace of M2x3 -214 + I5 - 2x1 - 12 - I3 – 374 – 3z5 + 2x6 211 - 312 + I3 + I5 211 + 12 + 23 3z6 -1 1 1 1. -1 Is + 215 - 6 - I4 + 2x5 - 2z6. I4 I5 I6 -3z1 – 312 + 2x3 -1 -2x2 - 14 + 215 – 316 -1 -I3 + I3 - 2x4 + 2z6. -I1 + 212 - 3r3 - 2x4 + 25 1 %3D 271 + 2x2 – 213 – 214 + 2x5 + 216 1 2. 2x1 + 12 + I3 – 14 + 215 211 – 3z3 – 3z4 – 215 -I1 + 2z2 + 2a3 + 2x4 + z6 I5 I6 - 16 -1 I6 1. %3D -1 | 211 + 12 - 3r3 + 14 - I5 – 16 I6 3. I4 I5 I3 |-2x1 - 3z3 - 4 - 3z5 I6 I4 I5 I1 - 213 – 314 – 15 + I6 | -371 + 12 – 213 – 314 – 316 I1 5. I4 I5 -3z1 - 12 - T3 + 214 + 2x6 Iz + 2x3 – I4 – 215 |-211 + 12 - T4 + 2z5 + I6 -3z3 – 214 – Is + 216 6. I4 I5 I6 || || || || || |||| || || 4.

Jun 04, 2022
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