Me ajudem, ninguem consegue resolver essas matrizes !!
questão 1: A=
![\left[\begin{array}{ccc}x-1&x-1&x-1\\x-1&1&2\\x-1&1&-2\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-1%26amp%3Bx-1%26amp%3Bx-1%5C%5Cx-1%26amp%3B1%26amp%3B2%5C%5Cx-1%26amp%3B1%26amp%3B-2%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}x-1&x-1&x-1\\x-1&1&2\\x-1&1&-2\end{array}\right]")
encontre o conjunto solução da equação det(A)=0
questão 2: se A=
![\left[\begin{array}{ccc}1&2\\2&1\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B2%5C%5C2%26amp%3B1%5Cend%7Barray%7D%5Cright%5D++++ "\left[\begin{array}{ccc}1&2\\2&1\end{array}\right]")
e B =![\left[\begin{array}{ccc}3&1\\0&2\end{array}\right]](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26amp%3B1%5C%5C0%26amp%3B2%5Cend%7Barray%7D%5Cright%5D++++ "\left[\begin{array}{ccc}3&1\\0&2\end{array}\right]")
calcule (A B-¹) elevado a t
questão 3: construa as matrizes A 3x2 tal que: 
Soluções para a tarefa
Respondido por
0
Oi segue
![detA\left[\begin{array}{ccc}x-1&x-1&x-1\\x-1&1&2\\x-1&1&-2\end{array}\right] =0 \\ \\ \[(x-1)1(-2)+(x-1)2(x-1)+(x-1)(x-1)1]-... \\ ...[(x-1)(x-1).1+2.1(x-1)+(-2)(x-1)(x-1)] =0\\ \\ -2(x-1)+2(x-1)^2+(x-1)^2-(x-1)^2-2(x-1)+2(x-1)^2=0 \\ \\ -2(x-1)(-1-1+x-1+x-1)=0 \\ \\ -2(x-1)(2x-4)=0 \\ \\ -4x^2+12x-8=0 \\ \\ Usando \ Bascara \ temos: \\ \\ x'=1 \ e \ x''=2 \\ \\ S={1,2}](https://tex.z-dn.net/?f=++detA%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-1%26amp%3Bx-1%26amp%3Bx-1%5C%5Cx-1%26amp%3B1%26amp%3B2%5C%5Cx-1%26amp%3B1%26amp%3B-2%5Cend%7Barray%7D%5Cright%5D+%3D0+%5C%5C++%5C%5C+%5C%5B%28x-1%291%28-2%29%2B%28x-1%292%28x-1%29%2B%28x-1%29%28x-1%291%5D-...+%5C%5C+...%5B%28x-1%29%28x-1%29.1%2B2.1%28x-1%29%2B%28-2%29%28x-1%29%28x-1%29%5D+%3D0%5C%5C++%5C%5C+-2%28x-1%29%2B2%28x-1%29%5E2%2B%28x-1%29%5E2-%28x-1%29%5E2-2%28x-1%29%2B2%28x-1%29%5E2%3D0+%5C%5C++%5C%5C+-2%28x-1%29%28-1-1%2Bx-1%2Bx-1%29%3D0+%5C%5C++%5C%5C+-2%28x-1%29%282x-4%29%3D0+%5C%5C++%5C%5C+-4x%5E2%2B12x-8%3D0+%5C%5C++%5C%5C+Usando+%5C+Bascara+%5C+temos%3A++%5C%5C++%5C%5C+x%27%3D1++%5C++e+%5C+x%27%27%3D2+%5C%5C++%5C%5C+S%3D%7B1%2C2%7D "detA\left[\begin{array}{ccc}x-1&x-1&x-1\\x-1&1&2\\x-1&1&-2\end{array}\right] =0 \\ \\ \[(x-1)1(-2)+(x-1)2(x-1)+(x-1)(x-1)1]-... \\ ...[(x-1)(x-1).1+2.1(x-1)+(-2)(x-1)(x-1)] =0\\ \\ -2(x-1)+2(x-1)^2+(x-1)^2-(x-1)^2-2(x-1)+2(x-1)^2=0 \\ \\ -2(x-1)(-1-1+x-1+x-1)=0 \\ \\ -2(x-1)(2x-4)=0 \\ \\ -4x^2+12x-8=0 \\ \\ Usando \ Bascara \ temos: \\ \\ x'=1 \ e \ x''=2 \\ \\ S={1,2}")
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![\left[\begin{array}{cc}1&2\\2&1\\\end{array}\right] * \left[\begin{array}{cc}3&1\\0&2\\\end{array}\right] ^t \\ \\ \\ \left[\begin{array}{cc}1&2\\2&1\\\end{array}\right] * \left[\begin{array}{cc}3&0\\1&2\\\end{array}\right] = \left[\begin{array}{cc}1*3+2*1&1*0+2*2\\2*3+1*1&2*0+1*2\\\end{array}\right] = \left[\begin{array}{cc}5&4\\7&2\\\end{array}\right]\\](https://tex.z-dn.net/?f=++%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26amp%3B2%5C%5C2%26amp%3B1%5C%5C%5Cend%7Barray%7D%5Cright%5D+%2A++%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%26amp%3B1%5C%5C0%26amp%3B2%5C%5C%5Cend%7Barray%7D%5Cright%5D+%5Et+%5C%5C++%5C%5C+++%5C%5C++%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26amp%3B2%5C%5C2%26amp%3B1%5C%5C%5Cend%7Barray%7D%5Cright%5D+%2A++%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%26amp%3B0%5C%5C1%26amp%3B2%5C%5C%5Cend%7Barray%7D%5Cright%5D+%3D++++%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%2A3%2B2%2A1%26amp%3B1%2A0%2B2%2A2%5C%5C2%2A3%2B1%2A1%26amp%3B2%2A0%2B1%2A2%5C%5C%5Cend%7Barray%7D%5Cright%5D+%3D++%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%26amp%3B4%5C%5C7%26amp%3B2%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C+ "\left[\begin{array}{cc}1&2\\2&1\\\end{array}\right] * \left[\begin{array}{cc}3&1\\0&2\\\end{array}\right] ^t \\ \\ \\ \left[\begin{array}{cc}1&2\\2&1\\\end{array}\right] * \left[\begin{array}{cc}3&0\\1&2\\\end{array}\right] = \left[\begin{array}{cc}1*3+2*1&1*0+2*2\\2*3+1*1&2*0+1*2\\\end{array}\right] = \left[\begin{array}{cc}5&4\\7&2\\\end{array}\right]\\")
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A 3 é simples de construir, mas ali tá meio estranho "se i é igual e diferente j" ???
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A 3 é simples de construir, mas ali tá meio estranho "se i é igual e diferente j" ???
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