-bsatisfiesа bd4. Let A =where ad – b 0. Show that B =с аad – bc-caАВ — ВА — IIt follows that B = A-1.

Given below the detailed solution

Answered: 1 where ad – b + 0. Show that B = -6…

Math

Advanced Math

1 where ad – b + 0. Show that B = -6 satisfies a b 4. Let A = с а ad – bc —с a АВ BА— I It follows that B = A-1.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.6: Matrices

Problem 4E: Let A=[aij]23 where aij=i+j, and let B=[bij]34 where bij=2ij. If AB=[cij]24, write a formula for cij...

See similar textbooks

Related questions

Q: a²f af af and əx' əy :f(x, y) = (x+ y)(2x + y)² Compute se дхду

Q: 5) If w = 4i + 4j, find 2w. 6) If v = 3i - 5j and w = -7i + 4j, find 3v - 4w. 7) If v = -4i + 4j,…

Q: Find (u - 2v) · (2u – v), given that u · u = 5, u. v = 6, and v · v = 9. %3D

Q: Let W(x) = W[y,, y2, Y3] , where 11 V1, Y2, Y3} are solutions to y"+3x y' -4y 0. Then W" =3 W.…

Q: let U = 5i +12j, V =24i + j, and W = i - 4j, and find: |2V-U|

A: U=5i+12j, V=24i+j and W=i-4j

Q: 71. r(и, v) — 4ui + (Зи — v)ј + vk 0 < u < 3, 0 < v < 1

Q: A E F B CD 1 AB, BE I AC AC = AB, AD = 4x-5 AE = 2x + 7, mZA = 3x +8. 9. Find m2C 10. AAEB = AADC by…

A: This question can be solved by applying ASA congruency.

Q: Determine the particular solution1 1. (2-r) dr=rsin 0 de; when 0 0 and r 1

A: The given differential equation is 2-r2dr=r2sinθdθ. Rewrite the above differential equation as…

Q: Let u = 9i - 4j and v = - 2i + 7j. Find u - v. u-v= (Type your answer in terms of i and j.)

Q: Complete the proof that ZYXZ SUT. P Q R. U W Y

Q: Jf XM = 4, XN = 6, and NZ = 9, find XY. 2 If XN = 6, XM = 2, and XY = 10, find NZ. M. XN Z 3. In…

Q: (a) Let U~ uniform[0, 2], and let U S= Se Find (i) E[S], (ii) P(S≥ 0.5). (b) Repeat (a) if U~ exp(2)…

A: Given: S= ∫0Ue-sds

Q: Let A = {x E Z: 8x} and let B={rEZ:12lx}. Then * ACB ВСА None of these A=B

Q: Let a bc A= d ef g hi Assuming that det(A) = – 7, find a) Det(2A) b) Det(A´') c) Det(3A') d)…

A: Given that: A=abcdefghiand det(A)=-7

Q: If u = 5i + 2j, v = i - j, and w = 3i - 7j, find u . (v + w).

A: According to the question, we have to find the value u·v+w, if u=5i+2j,v=i-j and w=3i-7j. The above…

Q: Prove if: beR – {0,1} and a– 2b=ab, then b :( 1 a b+1 constans Value | 2

A: Topic:- Algebra

Q: If u = 31 + j+ 4k, v = -i + 2j, and w = - 2i - 3j + 5k, evaluate u · (v x w). Lütfen birini seçin: O…

A: Given u=3i+j+4kv=-i+2jw=-2i-3j+5k We need to evaluate u.(v×w)So, v×w=ijk-120-2-35=10i+5j+7k

Q: 4. (a) If y = A + Bx + Cx2 and yo, yı, y2 are the values of y corresponding to x = a, a + h, a + 2h…

Q: If z1 = 1+ jb , Z2 = re¬1² , z/z2 = -10 , determine all possible values of b and r %3D

Q: When A is arbitrary, we have U 4R c (UA)", N 4s cn An.

Q: [2 1] Q2) Assume A = 1 3 [3 4 T2 4 and B = show that (AB)' = B' A' %3D %3D [3 6

Q: Assume Ta b det a 4. Compute За 36 3c det 2x + a + u 2y +b+ v 2z +c+ w -V (Enter the numerical value…

A: Given: detabcxyzuvw=4 To find: det3a3b3c2x+a+u2y+b+v2z+c+w-u-v-w

Q: 4. a) Prove that i) V=I ii) fx+nh = ! I+A 1+A (1) AK fx. = 4k=0

A: Introduction: In numerical analysis, there are many different operators that are used. These…

Q: Let z=xln(x2+y2−e4)−176xy, x=tes, y=est. If the value of ∂z ∂t when s=2 and t=1 is equal…

A: z=xlnx2+y2-e4-176xy x=tes, y=est use the chain rule to find the partial derivative…

Q: Given that A det(A) with det (A) + 0, consider the following statements: -67 d () aet( A) detaj…

Q: Let u = 2i - 7j, and v = - 8i + 2j. Find u - v. u-v = (Type your answer in terms of i and j.)

Q: If u = 2i + 5j; v = i - 2j; w = 3i - j, so u + v * w is: -3 3 6 -6 9

A: Given that: u = 2i + 5jv = i - 2jw = 3i - j To find: u + vw

Q: (3) = 2 u + U, =D2 at ucx, t) fipdy ing the following initial condition : - -3X U(x,0) = 6e

Q: If u = a – j5 and v = -6 + jb, calculate Re(u + 3v).

Q: dt Determine dw if t = (6r* +3r*) -(*+2r-5)'. -s)'. and w =

Q: az az Q1/ a. Find and if z= (x² + y²) where x =r+ e*and ar as y=Ins

A: Solution: The objective is to find the partial derivatives of the given equation

Q: 8. If u = a + j13 and v = –11 – jb, calculate the value of Re be17 19 a =

A: Topic = Vector

Q: If u= 2i +3k and v = j– k, then

A: We will use formula for cross product of two vectors

Q: 2 –1 2 1 1 1 7 7 B -2 1 1 Let A 1 2 5 1 3 Which one is true? (Üstteki matrislere göre hangisi…

Q: Given that R' (t) = 2ti — 2j + 3t² k and R(2) = i + j — k, then R(t) =

A: The objective is to find R(t).

Q: Let u = x + 7y and v = x - y. Subtracting v= x - y from u = x + 7y, we get y = Adding u =x + 7y and…

A: Given: Let u=x+7y v=x-y Subtracting v=x-y from u=x+7y, we get…

Q: Disprove the statement by giving counterexamples If m,n ∈ R, then |m + n| = |m| + |n|.

A: The equation is m+n=m+n.

Q: (a) Compute /(2) dr, given that f(b) 3 and that | af'(a) dr b(1 + f(-b)). (b) Computei (2) dz. given…

Q: If u = 3i + j + 4k, v = -i + 2j, and w = - 2i - 3j + 5k, evaluate u · (v x w). O A. 64 О В. 63 O C…

Q: Q2. Let a b c A = |d g h Assuming that det(A) = -7, find (a) det(3A) (b) det(A) (c) det(2A) a d (d)…

Q: For Exercise, find all solutions of the form (u, v, w). и — 3 v + 1 4 и — 3 v + 1 = 0 2 2 и — 3 v +…

A: Consider the following system of linear equations:…

Q: Given uo, u1, U2, U3, U4 and ug and assuming the fifth order differences to be constant, prove that…

Q: Determine the form of a particular solution (u,) of the given DE u" + 6u' + 9u = (7t + 2t )e¯*. o 4,…

A: To find The form of a particular solution of the given DE.

Q: (b): Find the values of V10 (Vab) (1): (a² + b²), (2): and (3): ab(a² + b²) by using fomulas if V5…

Q: a b be suc b |, then t

Q: D B. E C Given: AB XEB = CB × DB Prove: AABC- ADBE

A: To Determine: prove △ABC~△DBE Given: we have a figure in which we have triangles △ABC and △DBE also…

Q: Let a A =| d e f h i and 2a 2b 2с B = 2d 2e 2f i Given that det(A)=1/12, what is det( B-)? Answer:

A: Other

Question

-b
satisfies
а b
d
4. Let A =
where ad – b 0. Show that B =
с а
ad – bc
-c
a
АВ — ВА — I
It follows that B = A-1.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Groups$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Let A=[aij]23 where aij=i+j, and let B=[bij]34 where bij=2ij. If AB=[cij]24, write a formula for cij in terms of i and j.
Show that if x,y∈Z and 3|x^2+y^2 then 3|x or 3|y 6. Show that if c=sa+tb where c=(a,b), then(s,t)=1.
Find (∂z/∂u)=0, v=11, if z=sin(xy) + x sin(y), x=u^2+2v^2, and y=3uv
Show that: (a) Cov(X,Y) = E[XY] – E[X]E[Y]. (b) If X and Y are independent, then fY|X(y|x) = fY(y)
Find the TNB frame. r(t) = (3sint)i + (3cost)j + 4tk r(t)=(cost + tsint)i+(sint - tcost)j + 3k r(t) = (e^t × cost)i + (e^t × sint) j + 2k r(t) = (6sin 2t) i + (6cos 2t) j + 5tk
For x, y, z, w > 0, prove that (x/z)+(y/z)+(z/w)+(w/x)≥4