If A -200020002- then A5 -a 5 Ab 10 Ac 16 Ad 32 A

(c) 16A nbsp;A=200020002 #8658;A=2100010001 #8658;A=2I #8658;A5=2I5 #8658;A5=16 #215;2I #8658;A5=16200020002 #8658;A5=16A ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Inequalities of Integrals

If A =2000200...

Question

If $A = [\begin{matrix} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end{matrix}], then A^{5} =$

(a) 5A
(b) 10A
(c) 16A
(d) 32A

Open in App

Solution

(c) 16A

$A = [\begin{matrix} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end{matrix}] \Rightarrow A = 2 [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{matrix}] \Rightarrow A = 2 I \Rightarrow A^{5} = {(2 I)}^{5} \Rightarrow A^{5} = 16 \times 2 I \Rightarrow A^{5} = 16 [\begin{matrix} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end{matrix}] \Rightarrow A^{5} = 16 A$

Suggest Corrections

Similar questions

Q. If

A = ⎡ ⎢ ⎣ \begin{matrix} 200 \end{matrix} \begin{matrix} 020 \end{matrix} \begin{matrix} 002 \end{matrix} ⎤ ⎥ ⎦

then

A^{5} =

Q. If

A = [\begin{matrix} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end{matrix}]

such that A⁵ = λA, then λ = ___________.

A car headlamp of 48 W works on the car battery of 12 V. The correct fuse for the circuit of this car headlamp will be:

(a) 5 A
(b) 10 A
(c) 3 A
(d) 13 A

Q. An AC source of

V = 100 s i n (100 π t)

is connected to a resistor of

20 Ω

.The rms value of the current through the resistor is

Q. If

\frac{(2^{- a})^{- 2} 8^{a} + 32^{a}}{2^{3 b} 4} = 2^{- 4}

, then 3b - 5 a =

Join BYJU'S Learning Program

If A=200020002, then A5= (a) 5A (b) 10A (c) 16A (d) 32A

(c) 16A A=200020002⇒A=2100010001⇒A=2I⇒A5=2I5⇒A5=16×2I⇒A5=16200020002⇒A5=16A

If $A = [\begin{matrix} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end{matrix}], then A^{5} =$

(a) 5A
(b) 10A
(c) 16A
(d) 32A