Question

URGENTE

Se A= (a ij) 2 x 2. tal que a ij = 3i -j, então a matriz A é:

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Answer 1

Explicação passo-a-passo:

$\sf A=\Big(\begin{array}{cc} \sf a_{11} & \sf a_{12} \\ \sf a_{21} & \sf a_{22} \end{array}\Big)$

• $\sf a_{ij}=3i-j$

$\sf a_{11}=3\cdot1-1$

$\sf a_{11}=3-1$

$\sf \red{a_{11}=2}$

• $\sf a_{ij}=3i-j$

$\sf a_{12}=3\cdot1-2$

$\sf a_{12}=3-2$

$\sf \red{a_{12}=1}$

• $\sf a_{ij}=3i-j$

$\sf a_{21}=3\cdot2-1$

$\sf a_{21}=6-1$

$\sf \red{a_{21}=5}$

• $\sf a_{ij}=3i-j$

$\sf a_{22}=3\cdot2-2$

$\sf a_{22}=6-2$

$\sf \red{a_{22}=4}$

Logo:

$\sf A=\Big(\begin{array}{cc} \sf a_{11} & \sf a_{12} \\ \sf a_{21} & \sf a_{22} \end{array}\Big)$

$\sf A=\Big(\begin{array}{cc} \sf 2 & \sf 1 \\ \sf 5 & \sf 4 \end{array}\Big)$

Letra B