Question

If A = $\sf{\bigg [\:{\dfrac{1}{-2}}\:\:{\dfrac{5}{3}}\:\bigg ]\:and\:B\:=\:\bigg [\:{\dfrac{0}{4}}\:\:{\dfrac{-1}{-7}}\:\bigg ]}$, Find 2A - 3B.​

Answer 1

Answer:

hope this answer helps

Answer 2

${\textsf{\textbf{\red{\underline{\underline{Given:}}}}}}$

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• $\sf{A\:=\:\bigg [\:{\dfrac{1}{-2}}\:\:\:{\dfrac{5}{3}}\:\bigg ]}$

• $\sf{B\:=\:\bigg [\:{\dfrac{0}{4}}\:\:\:{\dfrac{-1}{-7}}\:\bigg ]}$

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${\textsf{\textbf{\red{\underline{\underline{Find:}}}}}}$

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• $\sf{Value\:of\:2A\:-\:3B}$

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${\textsf{\textbf{\red{\underline{\underline{Solution:}}}}}}$

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$\:\::\:\Longrightarrow\:\sf{2A\:-\:3B\:=\:2\bigg [\:{\dfrac{1}{-2}}\:\:\:{\dfrac{5}{3}}\:\bigg ]\:+\:(-3)\bigg [\:{\dfrac{0}{4}}\:\:\:{\dfrac{-1}{-7}}\:\bigg ]}$

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$\:\::\:\Longrightarrow\:\sf{\bigg [\:{\dfrac{2}{-4}}\:\:\:\:{\dfrac{10}{6}}\:\bigg ]\:+\:\bigg [\:{\dfrac{0}{-12}}\:\:\:\:{\dfrac{3}{21}}\:\bigg ]}$

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$\:\::\:\Longrightarrow\:\sf{\bigg [\:{\dfrac{2\:+\:0}{-4\:+\:(-12)}}\:\:\:{\dfrac{10\:+\:3}{6\:+\:21}}\:\bigg ]}$

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$\:\::\:\Longrightarrow\:\sf{\bigg [\:{\dfrac{2}{-16}}\:\:\:{\dfrac{13}{27}}\:\bigg ]}$

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$\:\therefore\:{\underline{\sf{Hence,\:the\:value\:is\:{\sf{\bf{\pink{\bigg [\:{\dfrac{2}{-16}}\:\:\:\pink{\dfrac{13}{27}}\:\bigg ]}}}}}}}.$

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