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Sia ? 6 years, 4 months ago
Let {tex}A = \left[ {\begin{array}{*{20}{c}} 1&0 \\ 0&0 \end{array}} \right],B = \left[ {\begin{array}{*{20}{c}} 2&3 \\ 4&0 \end{array}} \right]{/tex} and {tex}C = \left[ {\begin{array}{*{20}{c}} 2&3 \\ 4&4 \end{array}} \right]\left[ {\because B \ne C} \right]{/tex}
{tex}\therefore AB = \left[ {\begin{array}{*{20}{c}} 1&0 \\ 0&0 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 2&3 \\ 4&0 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 2&3 \\ 0&0 \end{array}} \right]{/tex} ....(i)
And {tex}\therefore AC = \left[ {\begin{array}{*{20}{c}} 1&0 \\ 0&0 \end{array}} \right] \cdot \left[ {\begin{array}{*{20}{c}} 2&3 \\ 4&0 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 2&3 \\ 0&0 \end{array}} \right]{/tex} .....(ii)
Thus, we see that AB = AC [using Eqs. (i) and (ii)]
Where, A is non-zero matrix but {tex}B \ne C{/tex}
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Yogita Ingle 6 years, 4 months ago
GLUCOSE |
FRUCTOSE |
Also known as grape sugar |
Also known as fruit sugar |
Six-membered ring |
Five-membered ring |
The preferred energy source for the body |
Not the preferred energy source for brain and muscles |
Less lipogenic |
More lipogenic |
Less fat producing |
More fat producing |
Relies on hexokinase/ glucokinase for initiating metabolism |
Relies on fructokinase for initiating metabolism |
It is an aldohexose |
It is a ketohexose |
Forms a pyranose ring structure |
Forms a furan ring structure |
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Dolly ?️ 6 years, 4 months ago
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