Equation array

Objective

is to represent equation array using LaTeX.

Example 1.

Code

\\begin{equation}
\\left. \\begin{array}{lllll}
\\lambda_{11} & = & \\cos(x\'_1,x_1) & = & \\cos\\theta \\\\
\\lambda_{12} & = & \\cos(x\'_1,x_2) & = & \\cos \\bigg( \\frac{\\pi}{2} - \\theta \\bigg) = \\sin\\theta \\\\
\\lambda_{21} & = & \\cos(x\'_2,x_1) & = & \\cos \\bigg( \\frac{\\pi}{2} + \\theta \\bigg) = - \\sin\\theta \\\\
\\lambda_{22} & = & \\cos(x\'_2,x_2) & = & \\cos\\theta
\\end{array} \\right\\}
\\end{equation}

Result

$latex
\\left. \\begin{array}{lllll}
\\lambda_{11} & = & \\cos(x\'_1,x_1) & = & \\cos\\theta \\\\
\\lambda_{12} & = & \\cos(x\'_1,x_2) & = & \\cos \\bigg( \\frac{\\pi}{2} - \\theta \\bigg) = \\sin\\theta \\\\
\\lambda_{21} & = & \\cos(x\'_2,x_1) & = & \\cos \\bigg( \\frac{\\pi}{2} + \\theta \\bigg) = - \\sin\\theta \\\\
\\lambda_{22} & = & \\cos(x\'_2,x_2) & = & \\cos\\theta
\\end{array} \\right\\} $

Example 2.

code

\\begin{equation}
\\begin{array}{rcl}
\\vec{A} \\cdot \\vec{r} & = & A_1 x_1 + A_2 x_2 + A_3 x_3 \\\\
& = & A^2 \\\\
& = & A^2_1 + A^2_2 + A^2_3
\\end{array}
\\end{equation}

Result

$latex
\\begin{array}{rcl}
\\vec{A} \\cdot \\vec{r} & = & A_1 x_1 + A_2 x_2 + A_3 x_3 \\\\
& = & A^2 \\\\
& = & A^2_1 + A^2_2 + A^2_3
\\end{array}
$

References

http://study-astrophysics.com/marion-01-08/

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