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Exercise:
Let bin K^m Ain M_mtimes nK. Then: abcliste abc textSolAb:xin K^n|A xbneq varnothing iff bin textCol SA. abc If textSolAbneq varnothing and yin textSolAb then textSolAby+textSolA:y+x|xin textSolA abcliste

Solution:
Proof. abcliste abc todo listed as exercise abc Let yin textSolAb. If xin textSolA then A x A yb. Longrightarrow Ay+xAy+Axb+b Conversely if zin textSolAb i.e. Azb then define x:z-y. We have zy+x and AxAz-Ayb-b. abcliste
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Exercise:
Let bin K^m Ain M_mtimes nK. Then: abcliste abc textSolAb:xin K^n|A xbneq varnothing iff bin textCol SA. abc If textSolAbneq varnothing and yin textSolAb then textSolAby+textSolA:y+x|xin textSolA abcliste

Solution:
Proof. abcliste abc todo listed as exercise abc Let yin textSolAb. If xin textSolA then A x A yb. Longrightarrow Ay+xAy+Axb+b Conversely if zin textSolAb i.e. Azb then define x:z-y. We have zy+x and AxAz-Ayb-b. abcliste
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eth, hs22, lineare algebra, matrices, proof
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ENG (English)
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Proof
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