Matrices and Determinants – Page 30

Let-A-a-b-c-d-Find-a-condition-on-a-b-c-d-so-that-A-n-1-A-n-nA-n-N-A-n-1-A-n-nA-A-n-A-n-1-n-1-A-A-n-1-A-n-2-n-2-A-A-n-2-A-n-3-n-3-A-A-4-A-3-3A-A-3-A-2-2A

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Question Number 3566 by Yozzii last updated on 15/Dec/15 $L e t A = (\begin{matrix} a & b \\ c & d \end{matrix}) . F i n d a c o n d i t i o n o n$ $a, b, c, d s o t h a t A^{n + 1} - A^{n} = n A, n \in N .$ $A^{n + 1} - A^{n} = n A$ $${A}^{{n}} −{A}^{{n}−\mathrm{1}} =\left({n}−\mathrm{1}\right){A} \…

Let-d-n-be-the-determinant-of-the-n-n-matrix-whose-entries-from-left-to-right-and-then-from-top-to-bottom-are-cos-1-cos-2-cos-n-2-For-example-d-3-determinant-cos-1-cos-2-cos-3-

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Question Number 68782 by Maclaurin Stickker last updated on 06/Oct/19 $Let d_{n} be the determinant of the n \times n$ $matrix whose entries, from left to right$ $and then from top to bottom, are$ $c o s 1, c o s 2, \dots, c o s n^{2} . (For example,$ $d_{3} = | \begin{matrix} c o s 1 c o s 2 c o s 3 \\ c o s 4 c o s 5 c o s 6 \\ c o s 7 c o s 8 c o s 9 \end{matrix} | .$ $$\mathrm{The}\:\mathrm{argument}\:\mathrm{of}\:{cos}\:\mathrm{is}\:\mathrm{always}\:\mathrm{in}\:\mathrm{radians} \…

Question-134062

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Question Number 134062 by BHOOPENDRA last updated on 27/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

A-1-2-2-5-B-3-1-4-2-determine-A-B-

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Question Number 2564 by Rasheed Soomro last updated on 22/Nov/15 $A = [\begin{matrix} 1 & 2 \\ 2 & 5 \end{matrix}], B = [\begin{matrix} 3 & - 1 \\ 4 & + 2 \end{matrix}]$ $d e t e r m i n e A^{B}$ Answered by Yozzi last updated on 22/Nov/15 $∣ A ∣= 5 - 4 = 1 \neq 0 \Rightarrow A i s n o n - s i n g u l a r .$ $${A}^{{B}}…

If-A-and-B-are-two-matrices-of-suitable-order-does-there-exist-definition-for-A-B-

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Question Number 2546 by Rasheed Soomro last updated on 22/Nov/15 $If A and B are two matrices of suitable order$ $does there exist definition for A^{B} ?$ Commented by Yozzi last updated on 22/Nov/15 $${A}^{{B}} ={e}^{\left({lnA}\right){B}}…

2x-y-2z-4-x-10y-3z-10-

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Question Number 1771 by hareem ali last updated on 19/Sep/15 $2 x - y + 2 z = 4$ $x + 10 y - 3 z = 10$ Answered by 123456 last updated on 19/Sep/15 $[\begin{matrix} 2 & - 1 & 2 \\ 1 & 10 & - 3 \\ 0 & 0 & 0 \end{matrix}] [\begin{matrix} x \\ y \\ z \end{matrix}] = [\begin{matrix} 4 \\ 10 \\ 0 \end{matrix}]$ $$ $[\begin{matrix} 2 & - 1 & 2 & 4 \\ 1 & 10 & - 3 & 10 \end{matrix}]$ …

Given-a-matrix-A-M-n-n-k-N-define-A-n-if-A-and-k-1-I-n-if-A-n-and-k-0-A-k-1-A-if-A-n-and-k-1-Prove-that-A-k-A-r-A-k-r-

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Question Number 605 by magmarsenpai last updated on 10/Feb/15 $G i v e n a m a t r i x A \in M_{n \times n} \forall k \in N d e f i n e :$ $A = {\begin{cases} \emptyset_{n} i f A = \emptyset a n d k ⩾ 1 \\ I_{n} i f A \neq \emptyset_{n} a n d k \neq 0 \\ A^{k - 1} A i f A \neq \emptyset_{n} a n d k ⩾ 1 \end{cases}$ $P r o v e t h a t A^{k} A^{r} = A^{k + r} \forall k, r \in N .$ …

Question-529

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Question Number 529 by 8905571695 last updated on 25/Jan/15 Answered by prakash jain last updated on 25/Jan/15 $blank$ Terms of…

Let-a-b-c-be-no-null-integers-A-ballot-box-contains-a-black-bowls-and-b-white-bowls-After-a-print-we-put-the-bowl-back-in-the-ballot-box-with-c-another-bowls-of-the-same-color-Prove-that-th

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Question Number 131509 by snipers237 last updated on 05/Feb/21 $L e t a, b, c b e n o n u l l i n t e g e r s . A b a l l o t b o x c o n t a i n s “ a^{″} b l a c k b o w l s a n d “ b^{″} w h i t e b o w l s .$ $A f t e r a p r i n t w e p u t t h e b o w l b a c k i n t h e b a l l o t b o x w i t h “ c^{″} a n o t h e r b o w l s o f t h e s a m e c o l o r .$ $P r o v e t h a t t h e p r o b a b i l i t y t o e x t r a c t a g r e e n b o w l a t a n y p r i n t i s a l w a y s$ $p = \frac{a}{a + b}$ Terms of Service Privacy Policy Contact: info@tinkutara.com

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