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Matrices and DeterminantsQuestion and Answers: Page 5

Question Number 121523 Answers: 0 Comments: 1

Given A a 3x3 matrix satisfy → { ((A ((1),(2),(3) ) = ((3),(4),(2) ))),((A ((5),(9),(7) ) = ((3),(1),(2) ))) :} . Find A (((10)),((18)),((14)) ) ?

$Given A a 3 x 3 matrix satisfy$ $\to {\begin{cases} A (\begin{array}{c} 1 \\ 2 \\ 3 \end{array}) = (\begin{array}{c} 3 \\ 4 \\ 2 \end{array}) \\ A (\begin{array}{c} 5 \\ 9 \\ 7 \end{array}) = (\begin{array}{c} 3 \\ 1 \\ 2 \end{array}) \end{cases}$ $. Find A (\begin{matrix} 10 \\ 18 \\ 14 \end{matrix}) ?$

Question Number 121372 Answers: 0 Comments: 1

Question Number 119124 Answers: 2 Comments: 0

if matrix A^2 = (((1 3)),((0 1)) ) then matrix A=...

$if matrix A^{2} = (\begin{matrix} 1 3 \\ 0 1 \end{matrix}) then matrix A = . . .$

Question Number 118640 Answers: 2 Comments: 0

Question Number 118231 Answers: 1 Comments: 0

Given a matrix A= (((−1 3 2)),(( 0 1 4)),((−2 3 2)) ) and A^(−1) = (1/(10))(kA+9I−A^2 ). find k.

$G i v e n a m a t r i x A = (\begin{matrix} - 1 3 2 \\ 0 1 4 \\ - 2 3 2 \end{matrix})$ $a n d A^{- 1} = \frac{1}{10} (k A + 9 I - A^{2}) .$ $f i n d k .$

Question Number 118090 Answers: 4 Comments: 1

find determinant (((((a^2 +b^2 )/c) c c)),(( a ((b^2 +c^2 )/a) a)),(( b b ((a^2 +c^2 )/b))))=?

$find | \begin{matrix} \frac{a^{2} + b^{2}}{c} c c \\ a \frac{b^{2} + c^{2}}{a} a \\ b b \frac{a^{2} + c^{2}}{b} \end{matrix} | = ?$

Question Number 117973 Answers: 1 Comments: 0

consider a non−singular 2×2 square matrix T. If trace (T) =4 and trace (T^2 )=5 what is determinant of the matrix T ?

$consider a non - singular 2 \times 2$ $square matrix T . If trace (T) = 4$ $and trace (T^{2}) = 5 what is determinant$ $of the matrix T ?$

Question Number 117844 Answers: 0 Comments: 1

Question Number 116746 Answers: 1 Comments: 0

Find an orthogonal matrix A whose first row is u_1 = ((1/3), (2/3), (2/3)).

$Find an orthogonal matrix A whose$ $first row is u_{1} = (\frac{1}{3}, \frac{2}{3}, \frac{2}{3}) .$

Question Number 116695 Answers: 2 Comments: 0

Solving by Gaussian elimination using the following system of linear equation { ((x−3y−2z=6)),((2x−4y−3z=8)),((−3x+6y+8z=−5)) :}

$Solving by Gaussian elimination$ $using the following system of$ $linear equation {\begin{cases} x - 3 y - 2 z = 6 \\ 2 x - 4 y - 3 z = 8 \\ - 3 x + 6 y + 8 z = - 5 \end{cases}$

Question Number 116669 Answers: 1 Comments: 1

Question Number 116578 Answers: 3 Comments: 0

solve for x determinant (((1 x x^2 x^3 )),((1 2 2^2 2^3 )),((1 3 3^2 3^3 )),((1 4 4^2 4^3 )))= 0

$solve for x$ $| \begin{matrix} 1 x x^{2} x^{3} \\ 1 2 2^{2} 2^{3} \\ 1 3 3^{2} 3^{3} \\ 1 4 4^{2} 4^{3} \end{matrix} | = 0$

Question Number 115520 Answers: 1 Comments: 0

Given matrix A = (((a 1 1)),((1 a 1)),((1 1 a)) ) If B = b.A and B is orthogonal determine value of a and b.

$G i v e n m a t r i x A = (\begin{matrix} a 1 1 \\ 1 a 1 \\ 1 1 a \end{matrix})$ $I f B = b . A a n d B i s o r t h o g o n a l$ $d e t e r m i n e v a l u e o f a a n d b .$

Question Number 115508 Answers: 2 Comments: 0

If determinant (((a a^2 1+a^3 )),((b b^2 1+b^3 )),((c c^2 1+c^3 )))= 0 a≠b≠c → { ((a =?)),((b=? )),((c=?)) :}

$I f | \begin{matrix} a a^{2} 1 + a^{3} \\ b b^{2} 1 + b^{3} \\ c c^{2} 1 + c^{3} \end{matrix} | = 0$ $a \neq b \neq c \to {\begin{cases} a = ? \\ b = ? \\ c = ? \end{cases}$

Question Number 114879 Answers: 1 Comments: 0

If the product of the matrices (((1 1)),((0 1)) ) (((1 2)),((0 1)) ) (((1 3)),((0 1)) )... (((1 k)),((0 1)) )= (((1 378)),((0 1)) ) then k =

$I f t h e p r o d u c t o f t h e m a t r i c e s$ $(\begin{matrix} 1 1 \\ 0 1 \end{matrix}) (\begin{matrix} 1 2 \\ 0 1 \end{matrix}) (\begin{matrix} 1 3 \\ 0 1 \end{matrix}) . . . (\begin{matrix} 1 k \\ 0 1 \end{matrix}) = (\begin{matrix} 1 378 \\ 0 1 \end{matrix})$ $t h e n k =$

Question Number 114567 Answers: 0 Comments: 1

Question Number 114554 Answers: 1 Comments: 0

Given a matrix A = (((a b)),((c d)) ) satisfies the equation A^2 +λA+7I = 0 where I= (((1 0)),((0 1)) ) . Find the value of trace of A

$G i v e n a m a t r i x A = (\begin{matrix} a b \\ c d \end{matrix}) s a t i s f i e s$ $t h e e q u a t i o n A^{2} + λ A + 7 I = 0$ $w h e r e I = (\begin{matrix} 1 0 \\ 0 1 \end{matrix}) . F i n d t h e v a l u e o f$ $t r a c e o f A$

Question Number 112505 Answers: 1 Comments: 0

Given matrix A= (((1 0)),((2 3)) ) , B= (((−1 −3)),(( 2 0)) ) and AX +2B = I . what the value of det (X) ?

$Given matrix A = (\begin{matrix} 1 0 \\ 2 3 \end{matrix}), B = (\begin{matrix} - 1 - 3 \\ 2 0 \end{matrix})$ $and AX + 2 B = I . what the value$ $of \det (X) ?$

Question Number 109240 Answers: 1 Comments: 0

((♭emath)/(•••••)) use cayley − hamilton theorem to calculate A^(−1) for A= (((1 2 2)),((1 2 −1)),((−1 1 4)) )

$\frac{♭ e m a t h}{∙ ∙ ∙ ∙ ∙}$ $u s e c a y l e y - h a m i l t o n t h e o r e m$ $t o c a l c u l a t e A^{- 1} f o r A = (\begin{matrix} 1 2 2 \\ 1 2 - 1 \\ - 1 1 4 \end{matrix})$

Question Number 108059 Answers: 1 Comments: 0

((♥JS♥)/(°js°)) Given a matrix A= ((( 3 2)),((−5 −4)) ) and A^2 +♭A−2I=0 where ♭ is a constant , I= (((1 0)),((0 1)) ). If B = (((−3♭ 2)),(( 5♭ −1)) ) , then A^(−1) B =

$\frac{♡ J S ♡}{° j s °}$ $G i v e n a m a t r i x A = (\begin{matrix} 3 2 \\ - 5 - 4 \end{matrix})$ $a n d A^{2} + ♭ A - 2 I = 0 w h e r e ♭ i s a$ $c o n s t a n t, I = (\begin{matrix} 1 0 \\ 0 1 \end{matrix}) . I f B =$ $(\begin{matrix} - 3 ♭ 2 \\ 5 ♭ - 1 \end{matrix}), t h e n A^{- 1} B =$

Question Number 107547 Answers: 1 Comments: 6

Question Number 107196 Answers: 2 Comments: 8

How many different words can be formed with the same letters as in TINKUTARA if no two same letters are next to each other.

$H o w m a n y d i f f e r e n t w o r d s c a n b e$ $f o r m e d w i t h t h e s a m e l e t t e r s a s i n$ $T I N K U T A R A i f n o t w o s a m e l e t t e r s$ $a r e n e x t t o e a c h o t h e r .$

Question Number 105071 Answers: 0 Comments: 3

Question Number 104141 Answers: 1 Comments: 0

Question Number 103622 Answers: 2 Comments: 0

Given a = Σ_(n=1) ^(24) (1/((√(n+1))+(√n))) then the value of a + (1/(log _a (bc)+1)) + (1/(log _b (ac)+1)) + (1/(log _c (ab)+1)) = ?

$G i v e n a = \underset{n = 1}{\sum^{24}} \frac{1}{\sqrt{n + 1} + \sqrt{n}} t h e n t h e v a l u e o f$ $a + \frac{1}{\log_{a} (b c) + 1} + \frac{1}{\log_{b} (a c) + 1} +$ $\frac{1}{\log_{c} (a b) + 1} = ?$

Question Number 100873 Answers: 0 Comments: 4

[(1,5,3),(4,6,7),(9,2,8) ]+ [(9,5,7),(6,4,3),(1,8,2) ]

$[\begin{matrix} 1 & 5 & 3 \\ 4 & 6 & 7 \\ 9 & 2 & 8 \end{matrix}] + [\begin{matrix} 9 & 5 & 7 \\ 6 & 4 & 3 \\ 1 & 8 & 2 \end{matrix}]$

Pg 1 Pg 2 Pg 3 Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Pg 10

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