2 -2 If B = then B is invertible. -3 3 Select one: O True O False

Q: -18 -11 -10 E adj A = 2 14 - 4 then absolute value of determinant 4 5 -8

A: In this question, the concept of the determinant is applied. Determinant Determinants are a type of…

Q: 1. If x=27-3k and y = i +5j -4k, express each of the following in terms of i, j, k b) 2(3x+y)-3(4y…

A: Given x→=2i→-3k→ & y→=i→+5j→-4k→To write expression in terms of i→,j→,k→:

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: 1. Use Cramer's Rule to show the solution of -24 +7x-10y 1+ (3/7) y = (-5/18)x

A: We have to solve the given system of equation by Cramer's rule

Q: Q1/ The Volume of box that determinate by A=(-i-3k) , B= (-4j+2i-3k) and C=(8i-3j+2k) ?will be 23…

A: Solved below

Q: A-1 does not exist.

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Q: Is this statement true? If Ax = b has a solution for b, then A must be invertible.

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Q: O show that 2. I| a+ V 1= 11 + 1i if and only if ū. ů =0 %3D

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Q: Let 1 2 A = 3 6 Is A invertible? Explain your answer.

A: To verify is the given matrix A is invertible Or not.

Q: 15 2 (b) Evaluate 4 8 3 by forming the equivalent determinant with -2 1 0 elements 1 00 in the first…

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Q: -1 0 -6 9- Let D = 4 Find -2D = 2.

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Q: a) Ho:μ=2 Ha:μ>3 b) Ho:x̄=0.7 Ha:x̄<0.7    Are these null and alternative hyothesis correct

A: Null hypothesis is the statement about the population parameter, such a hypothesis is usually of no…

Q: 2 -2 If B = then B is not invertible. -3 3

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Q: 5. If Z1 = V3 – 2i, Z2 = -i+1 and Z3 = 4i – 2. Evaluate (i) Re{3Z} – 5Z7 + 2Z}} (ii) |(1+ Z2+ Z3)(i…

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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: Suppose z1 = 2+j, z2 = 3-j2 and z3 = -+j. Evaluate 23+2-5-1 2-+3-3 %3D

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Q: EXER 4.7 | LINEAR ALGEBRA Find the desired determinant. d e f a b C Ix-a y-b z-cl a b C Given that d…

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Q: Solve the following system using Cramer's rule. 15x + 21y = - 25 21x + 6y = - 5

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Q: What values of the Boolean variables x and y satisfy xy = x+ y?

A: We have to use Truth Table.

Q: If the product C = AB is invertible ( A and B are square), then A itself is invertible. Find a…

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Q: a) If Z1 = -3 + 3i and Z2 = 4i. Show that: i) Arg(Z,Z2) + Arg(Z,) + Arg(Z2) ii) Arg (2) = Arg(Z,) –…

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Q: If z2+2z+2=0 then z=1+i -1±i z=2+ 2i o z=5i-3 o

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: • If x = -0,8, then [x-1]%D %3D 1. -2 2. -1 3. -0.8 4. 1

A: Greatest integer function: For all real numbers x, the greatest integer function gives the largest…

Q: 3) Compute A-1 using adjoint. -1 -2 -3 -41 1 2 3 Let A = 5 1 0 0

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Q: -2 -1 2. 3. find an for the above signal.

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Q: Q.2 Solve the following set of equations x + 4 y + 3z = 2, 2x - 6 y + 6z = -3, 5x - 2 y + 3z = -5…

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Q: -5 1 -5 Let A = -4 ,B = -5 -1 3 1 Compute: 4AT + B

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Q: [1 Which of the following values of a will make 2 Lo 2 non-invertible? a. А) 5 B) 4 1

A: Option B is correct

Q: 4 - 2 4 Compute A - 513 and (5I3 )A, where A = -4 2 -6 - 2 2 2

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Q: 4. Use Cramer's rulc to solve the lincar systemn. r+ 3y 2 5.r +7y 3

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Q: (*+7X-1) the f1) - -Sz+4) If fo- is undefined

A: Here first of all we find factors of denominator which is ( X - 1) ( X - 4)

Q: Consider the expressions: f1 = (Ax.((Ay. (y x)) y) u) 12 = (Axx y) a. List the bound variable…

A: Given: Variables applied in a function that are neither local variables nor parameters of that…

Q: ( 2z3+21-5-j 2z1-22+3-j, Suppose z1 = 2 +j, z2 = 3 – 32 and z3 = - +j. Evaluate

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Q: 2 0 If A = and X = then A X = %3D %3D 11 5 -

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Q: Find (AB)-1, (3A)-1, and (A*)-' given that 1 2 5 3 -3 4 A-1 = 3 1 6. B-1 = 1 3 2 8 1 6. 1

A: Recall: AB-1 = B-1A-1 aA-1 =aA-1 ; where 'a' is any scalar. At-1 =A-1t

Q: 7. Evaluate the determinate |1 2 (d) 2 5 2 5 7 1 5 8 (e) 1 7 9 5 5 12 3 2 1 (f) 2 3 4 1 4 1

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Q: Let a-2-3j.kb-41-) and c-1-31-2k. If d is such that da-9. db-7 and dc-6, then d is equal to 01-31-2…

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Q: & B= Q1-Let A = 2 4 Verify that (AB)" = B" A"

A: As per our guideline we are supposed to do 1 question at a time. Please post other questions next…

Q: 1) Let c. 1z_c)=4 and I = -82²_3 dZ. c 근림1 then Is 2IT i ?

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Q: If z2= -1 then z = i o -ic ±i -1 0

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Q: Q4: 1- Prove that (1– i)? + (1+ i)² = 0 . %3D 2- Put in the form a + ib ((1+ i)²)² - ((1- i)²)².

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Q: (34 If ā = 27 +j- 3k, 5 = T-2J +k; č = -i+J-4K, d = i +J +k then compute (āxb)x (7 xd

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Q: 5. If Z1 = v3 – 2i, Z2 = -i +1 and Z – 3= 4i – 2. Evaluate (i) Re{3Z – 5Z} + 22Z}} (ii) |(1+ Z2 +…

A: GivenZ1=3-2iz2=-i+1z3=4i-2then z32=( 4i-2)2 Apply Perfect Square Formula:  a-b2=a2-2ab+b2a=4i,  b=2(…

Q: 4. Find the determinant by expanding 3 01 1 1 2 2 -1 3 0 (a) on the first row (b) on the second row…

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Q: 12 - 2 Let Ax) = x² + 3x + 5 , and 1 A = -2 1 3 3 -1 Which one is (A)=?

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Q: 2. Let ā = (3, -4,0) and b = (2, – 1, 5). Compute e (a) ā . 6 = %3D 6 14= 10 (b) ā xb = 3-4 0 こ 21…

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Q: (b) Show that V n 20 > (2i +3)3' = (n+ 1)3"+1. i=0

A: To Show- Show that ∀ n ≥ 0 ∑i=0n2i + 33i = n + 13n+1.

Q: QUESTIUN 27 Solve by using Cramer's Rule: -2x+6y %3D 4x-12y O A. Not independent ОВ.(-72, -70) O…

A: Please see the explanation below

Q: Show that: (AB)-1 = B-'A-1 (AB is invertible)

A: Operate AB on both sides of the expression .