7 1 5 5 5 Let A = and B = | -1 -7 -7 0 5 7 Find AB if it is defined. Otherwise, click on "Undefined".

Q: If B = B-1 then B = I or B = -I. Prove or give counter example.

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Q: [1 2] If A = then show that |2A|=4|A| %3D 4 2

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Q: 1. Show that A ⊆ A. 2. Show that if A ⊆ B and B ⊆ C, then A ⊆ C

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Q: Let 1 4 L = 1 -2 and U =| 0 -1 1 3 (a) Determine all values of a so that the (3, 2) entry of LU is…

A: given: L=2001-20a13 and U=14b0-1500c (a) we have to determine all the values of a so that the (3,2)…

Q: Corollary 6.9. Let X; ~ N(m;, o?), i = 1,2, where X1 and X2 are indepen- dent, and let Y = X1 + X2.…

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Q: 1. Let A = a b c def ghi B ba bb b c gh i de f If de+ (A) = -1/24 then what is det (B-¹)? and AUT

A: Square matrix: If a matrix A has the number of rows equal to the number of columns. Then, the matrix…

Q: -4 and C = 7 A = y В 1 3. Let Find x, y, z 2 -3 such that AB =C.

A: The matrix multiplication of two square matrices is performed as follows. Let P=ab cd and Q=ef gh .…

Q: 6 -4 -5 4 Let A = and B = %3D -3 Find BA if it is defined. Otherwise, click on "Unde

A: Given,   BA=?

Q: -2 0 1 2 Let A = 7 and B - 1 2 5 -2 Find AB if it is defined. Otherwise, click on "Undefined". AB…

A: For multiplication of two matrix number of columns of first matrix equal to number of rows of second…

Q: 2-4 Let A Then A -l exists provided that d # -8- %3D 4 d True False

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Q: 2 3 -1 В 3 0 2 Given A = B = 1, C= |1 -2]. Verify that (AB)C = A(BC)

A: The given matrices are A=23-1302, B=112  and  C=1-2. Evaluate (AB)C as follows. ABC=23-1302×112…

Q: If n quantities a, b, c, . . . . k are in A.P., then 1 + +....+ is b c 1 - - k 2n 2n (a) a + k (c)…

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Q: Let 6 -2 3 -5 A = and B = -2 1 2 -3 (a) Find AB, A-1, and B-1. AB = A-1 B-1 = (b) Show that (АВ)-1 3…

A: Formula: Let A=a1a2a3a4 and B=b1b2b3b4. Then, AB=a1b1+a2b3a1b2+a2b4a3b1+a4b3a3b2+a4b4 The given…

Q: [1 2 3] If Ax = b where A = 1 1 2, find x if Lo 1 2.

A: Using matrix notation a system of equations can be expressed in the form Ax=B. In this problem the…

Q: 1. Let D= [-2,3) U {-3, T}. Determine the following: (a) max D, (b) inf D, (c) interior ED (a) b

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Q: Show that e = (1 + i)/√2 if and only if z = (n/4+2km)i, k = 0.±1, +2...

A: This question is related to complex numbers,  we will solve it using given information.

Q: [2 1] and B = 1 3 4] 13 2 4 Q2) Assume A = show that (AB)' = B' A' 3 6

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Q: A = -1 3 1 -4 1 C = -3 2 & B = 3. & 6. Find ??? 1- Prove that At + B* + Ct = (A +B + C)* 2- Prove…

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Q: [2 1] and B= 3 2, then (AB)T is equal If A = 10 -2 7 Option 2 None of these -3 7 -3 -2 10 2 10 7…

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Q: 3 7 1 2. Let A = |2 15 [2 -1 0] B Determine if and C = 5 1 5 0 -1 6 the following are defined, and…

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Q: [2 11 Q2) Assume A = |1 [3 4] 2 4 11 3 6 4 3 and B = show that (AB)' B' A'

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Q: 3 0 -6 ド:3 1 C = 4 2 A = B = %3D %3D 3 1 5 152 D = -1 0 1 6 1 3 1 2 4 1 3 E = -1 | 3 2 4 Compute the…

A: Given matrices are: A=30-12110, , B=4-102, C=142315 D=152-101324, E=613-112413 Now DT=1-13502214,…

Q: 1 2 3 1 that R2 = 2R+cS. b. If R = and S= 1 0 01 find a number c such

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

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Q: -2 1 2 -1 1 -1 2. LetA= Then find A-1 if it exist. 1

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Q: 3. Prove indirectly. Let Q = {n/m | m,n E Z and m # 0}, and I = R – Q. If r e Q and sE I, then 2r –…

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Q: 5 7 -5 A : 0 4 -1 2 8 -3 matrisini köşegen hale getiren P matrisini elde ediniz.

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Q: 1.Let A = abc B = a d g def and 26 2e 2h 3c 3f 3i If det (A) = /30 then what is det(B-)? %3D

A: Determinant of inverse

Q: 4 1 8 Let A= B= Find C such that AC=B-C. 0 2 Select one: a. c=[3 1] on O b. c=[13] C. d. C= 13 3.

A: We will solve the problem

Q: 7. 6. 4 5 Let A = and B = -5 3 3 6-1 1 -6 Find AB if it is defined. Otherwise, click on "Undefine АВ

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Q: 2 31 2 3. Then the adjoint of A is: 1 o] Let A = -1 1

A: Given,   The required calculation can be defined by the formula, Adjoint of matrix A:

Q: (2, –1, 3) and b (-3, 3, 4). Calculate 2a – 3b and |a – b|. Clearly separate the Let a calculations.

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Q: 0. Show that C[-1,1] c C[0,1]. C[0,1]).

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Q: 1 2 1 B. Let A = 2 1 2 1 0 2 Find the following: а. тinor(A)12 b. тiпor(A)32

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Q: 5 7 -5 A 0 4 -1 2 8 -3 matrisini köşegen hale getiren P matrisini elde ediniz.

A: We have the following matrix which we want to diagonalise -  A = 57-504-128-3 First we will find the…

Q: [2 and C = |1 1 Let A = [2 0 -1] ,B = -1 %3D 1 Then (2BA - CT) is -1 -21 -4 1 -5 equal to the above…

A: This question is related to linear algebra

Q: and C = -3 2. 131 Let. A = -4 and yet B C Venify that AB AC

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Q: 10 2 3. 1 0 1 then det(A) = Let A = 0 0 0-3 2 0-1 2

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Q: (1 1 0) 5. If B =|0 -1 1, show that B' =B² +I . 1 -1 1 With no further evaluation, express B' in the…

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Q: 1 Let C= -7 and D=-1 4 0. and D = [-1 4 0]. -7 Find CD if it is defined. Otherwise, click on "Undefi…

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Q: a b If B = find conditions on a, b, c, and d such that c d 1 1 A = 0 1 O b = c Oc = 0 O a = b

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Q: 6.1.4 Let A = [1,3], B = [2,4] and C = [2,3]. Prove or disprove that %3D (Ах B)n (В x A) 3 Сх С.

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Q: -4 6 0 5 -6 Let A = and B = -4 4 [1 6 2 Find AB if it is defined. Otherwise, click on "Undefined".

A: Given the matrices A=-46-44 and B=05-6162. Then we have to find AB if it is defned.

Q: 1 0 3 Then 2BAT - 1₂ = Let A = [₁ B= 29. 3 1

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Q: 4 1 -3] 4 9. 7 2 1 -1 -5 3. hts) Let A = B = Let C = -2 8 -7 0 2 -1 -1 9. 3 Compute all of the…

A: Since you have asked a question with multiple subparts, we will solve the first three subpart for…

Q: 9. Let 10 4 C =-1 1 2 2 4 2 3 A = 2 4 B = -- -1 3 0 0 1 3 Carry out the indicated operation, or…

A: "Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: 3. Prove indirectly. Let Q = {n/m|m,n E Z and m # 0}, and I = R – Q. If r e Q and s e I, then 2r –…

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Q: 9. 1 4 -3 E span{ 2 ,then x 1 If W = %3D 1 Select one: O True O. False 4.

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.