What is expand \det(2^i)(i+j/2) ?

The solution to expand \det(2^i)(i+j/2) is i\det(2^i)+(\det(2^i)j)/2

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expand \det(2^i)(i+j/2)

expand

det (2^{i}) (i + \frac{j}{2})

i det (2^{i}) + \frac{det ( 2 ^{i} ) j}{2}

Solution steps

det (2^{i}) (i + \frac{j}{2})

Apply the distributive law:

a (b + c) = ab + a c

a = det (2^{i}), b = i, c = \frac{j}{2}

= det (2^{i}) i + det (2^{i}) \frac{j}{2}

= i det (2^{i}) + det (2^{i}) \frac{j}{2}

Multiply

det (2^{i}) \frac{j}{2} : \frac{det ( 2 ^{i} ) j}{2}

= i det (2^{i}) + \frac{det ( 2 ^{i} ) j}{2}

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6 (\frac{6}{12} + \frac{8}{12} + \frac{9}{12})

What is expand \det(2^i)(i+j/2) ?
The solution to expand \det(2^i)(i+j/2) is i\det(2^i)+(\det(2^i)j)/2