Matrices and Determinants – Page 27

Question-10268

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Question Number 10268 by j.masanja06@gmail.com last updated on 01/Feb/17 Answered by sandy_suhendra last updated on 01/Feb/17 $(x - 3) (x + 5) (x - 1) + 6 + 42 - 6 (x + 5) + 6 (x - 3) + 7 (x - 1) = 0$ $x^{3} + x^{2} - 10 x + 8 = 0$ $$\left(\mathrm{x}−\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{2x}−\mathrm{8}\right)=\mathrm{0} \…

prove-that-determinant-1-1-1-x-y-z-x-2-y-2-z-2-x-y-y-z-z-y-

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Question Number 10245 by j.masanja06@gmail.com last updated on 31/Jan/17 $prove that$ $| \begin{matrix} 1 & 1 & 1 \\ x & y & z \\ x^{2} & y^{2} & z^{2} \end{matrix} | = (x - y) (y - z) (z - y)$ Answered by prakash jain last updated on 31/Jan/17…

solve-the-eqution-determinant-x-3-1-1-7-x-5-1-6-6-x-1-0-

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Question Number 10243 by j.masanja06@gmail.com last updated on 31/Jan/17 $solve the eqution$ $| \begin{matrix} x - 3 & 1 & - 1 \\ - 7 & x + 5 & - 1 \\ - 6 & 6 & x - 1 \end{matrix} | = 0$ Terms of Service Privacy Policy Contact: info@tinkutara.com

A-2-1-1-3-1-2-2-1-2-find-the-inverse-of-this-matrix-

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Question Number 141193 by Eric002 last updated on 16/May/21 $A = [\begin{matrix} 2 & 1 & - 1 \\ - 3 & - 1 & 2 \\ - 2 & 1 & 2 \end{matrix}] f i n d t h e i n v e r s e o f t h i s m a t r i x$ Answered by bramlexs22 last updated on 16/May/21 $C a y l e y - H a m i l t o n t h e o r e m$ $$\:\mid{A}−\lambda{I}\mid\:=\:\mathrm{0} \…

Given-the-matrix-A-1-1-1-0-2-1-2-3-0-and-B-3-3-1-2-2-1-4-5-2-find-the-matrix-product-AB-and-BA-state-the-relationship-between-A-and-B-find-also-the-matri

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Question Number 75099 by Rio Michael last updated on 07/Dec/19 $G i v e n t h e m a t r i x$ $A = (\begin{matrix} 1 & - 1 & 1 \\ 0 & 2 & - 1 \\ 2 & 3 & 0 \end{matrix}) a n d B = (\begin{matrix} 3 & 3 & - 1 \\ - 2 & - 2 & 1 \\ - 4 & - 5 & 2 \end{matrix})$ $f i n d t h e m a t r i x p r o d u c t A B a n d B A$ $s t a t e t h e r e l a t i o n s h i p b e t w e e n A a n d B$ $f i n d a l s o t h e m a t r i x p r o d u c t B M, w h e r e M = (\begin{matrix} 8 \\ - 7 \\ 1 \end{matrix})$ $H e n c e s o l v e t h e s y s t e m o f e q u a t i o n s :$ $x - y + z = 8,$ $$\:\:\:\:\:\:\:\mathrm{2}{y}\:−{z}\:=−\mathrm{7},…

If-f-x-determinant-sec-2-x-1-1-cos-2-x-cos-2-x-csc-2-x-1-cos-2-x-tan-2-x-evaluate-0-pi-4-f-x-dx-

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Question Number 140548 by liberty last updated on 09/May/21 $If f (x) = | \begin{matrix} \sec^{2} x 1 1 \\ \cos^{2} x \cos^{2} x \csc^{2} x \\ 1 \cos^{2} x \tan^{2} x \end{matrix} |$ $evaluate \underset{0}{\int^{π / 4}} f (x) dx .$ Answered by EDWIN88…

Question-9387

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Question Number 9387 by sandipkd@ last updated on 03/Dec/16 Commented by sandipkd@ last updated on 03/Dec/16 $a u e s t i o n n o . 11 ?$ Commented by mrW last updated on…

find-the-determinant-of-the-matrix-below-1-4-3-1-2-0-6-3-4-1-2-5-1-0-2-4-

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Question Number 9285 by suci last updated on 28/Nov/16 $f i n d t h e d e t e r m i n a n t o f t h e m a t r i x b e l o w$ $[\begin{matrix} 1 & 4 & - 3 & 1 \\ 2 & 0 & 6 & 3 \\ 4 & - 1 & 2 & 5 \\ 1 & 0 & - 2 & 4 \end{matrix}]$ Answered by mrW last updated on 28/Nov/16 $∣ A ∣= | \begin{matrix} 1 & 4 & - 3 & 1 \\ 2 & 0 & 6 & 3 \\ 4 & - 1 & 2 & 5 \\ 1 & 0 & - 2 & 4 \end{matrix} |$ $$\mathrm{R4}−\mathrm{R1}\:\mathrm{and}\:\mathrm{R3}−\mathrm{R2}×\mathrm{2}: \…

find-the-determinant-of-the-matrix-below-determinant-0-0-0-0-1-0-0-0-2-0-0-0-3-0-0-0-4-0-0-0-5-0-0-0-0-

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Question Number 9286 by suci last updated on 28/Nov/16 $f i n d t h e d e t e r m i n a n t o f t h e m a t r i x b e l o w$ $| \begin{matrix} 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 2 & 0 \\ 0 & 0 & 3 & 0 & 0 \\ 0 & 4 & 0 & 0 & 0 \\ 5 & 0 & 0 & 0 & 0 \end{matrix} |$ Answered by mrW last updated on 28/Nov/16 $= 5 \times | \begin{matrix} 0 & 0 & 0 & 1 \\ 0 & 0 & 2 & 0 \\ 0 & 3 & 0 & 0 \\ 4 & 0 & 0 & 0 \end{matrix} |$ $$=\mathrm{5}×\left(−\mathrm{4}\right)× $| \begin{matrix} 0 & 0 & 1 \\ 0 & 2 & 0 \\ 3 & 0 & 0 \end{matrix} |$ \…

find-the-determinant-of-the-matrix-below-determinant-0-4-0-0-0-0-0-0-2-0-0-0-3-0-0-0-0-0-0-1-5-0-0-0-0-

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Question Number 9287 by suci last updated on 28/Nov/16 $f i n d t h e d e t e r m i n a n t o f t h e m a t r i x b e l o w$ $| \begin{matrix} 0 & 4 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 0 \\ 0 & 0 & 3 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 5 & 0 & 0 & 0 & 0 \end{matrix} |$ Answered by mrW last updated on 28/Nov/16 $= - 4 \times | \begin{matrix} 0 & 0 & 2 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & 0 & 1 \\ 5 & 0 & 0 & 0 \end{matrix} |$ $$=−\mathrm{4}×\mathrm{2}× $| \begin{matrix} 0 & 3 & 0 \\ 0 & 0 & 1 \\ 5 & 0 & 0 \end{matrix} |$ \…

Category: Matrices and Determinants