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Scalar Matrix

let A= 1 3/2...

Question

let A= 1 3/2 ,B= 4 -3 and Cr = r*3^r 2^r be given 3 matrices then the 1 2 -2 2 0 ( r-1)3^r value of summation tr((AB)^rCr) = 3^ba+3 then a+b/25 =

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A = {1, 2, 3, 4}

R

be a relation in

A

R = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (3, 1), (1, 3)}

R

Q. The radii of described circle of

△ A B C

r_{1}, r_{2}

r_{3}

respectively (opposite to vertices

A, B

C

r_{2} + r_{3} = 2 R

r_{1} + r_{2} = 3 R

Q. Let A = {1, 2, 3, 4} and R be a relation in A given by R = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3)}. Then R is

A = {1, 2, 3, 4}

R

be a relation in

A

R = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3)}

then identify the relation

R

.

A = ⎡ ⎣ \begin{matrix} 1 & \frac{3}{2} 1 & 2 \end{matrix} ⎤ ⎦, B = [\begin{matrix} 4 & - 3 - 2 & 2 \end{matrix}] and C_{r} = [\begin{matrix} r {.3}^{r} & 2^{r} 0 & (r - 1) 3^{r} \end{matrix}]

be 3 given matrices. Compute the value of

\sum_{r = 1}^{50} t r . ((A B)^{r} C_{r}) . (

t r . (A)

denotes trace of matrix A

)

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