If a - - - 1 2- 4 2 - -than show that - 2A- - 4- A -

Given, A= [ [ 1 amp;2; 4 amp;2 ]] |A| = 2 8 = #160; 6 RHS = 4|A| = #160; 24 Now, 2A= [ [ 2 amp;4; 8 amp;4 ]] ...

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Scalar Multiplication of a Matrix

If a = [ [ ...

Question

If $a = [\begin{matrix} 1 & 2 4 & 2 \end{matrix}]$ ,than show that $| 2 A | = 4 | A |$

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A = [\begin{matrix} 1 & 2 4 & 2 \end{matrix}]

| 2 A | = 4 | A |

∣ ∣ ∣ \begin{matrix} 1 & 2 4 & 2 \end{matrix} ∣ ∣ ∣

| 2 A | = 4 | A |

A = ∣ ∣ ∣ \begin{matrix} 1 & - 1 - 1 & 1 \end{matrix} ∣ ∣ ∣

A^{2} = 2 A & A^{3} = 4 A

If $A = [\begin{matrix} 1 & 2 4 & 2 \end{matrix}]$ , then show that $| 2 A | = 4 | A |$

If a,b,c are unequal and positive ,show that bc/(b+c ) +ac/(c+a) +ab/(a+b) is less than1/2(a+b+c)

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