(11) Find the dual basis {V4.V } of the stan dard basis of IR. Let T:IR → IR defined by T(xiy, z) =(4x+5y+bz, 7x +8y+9z) %3D

Q: 10. Simplify and express in terms of i: 5V-4 + v-I- 2/-9

A: Answer is mentioned below -

Q: a₁a₂ a3 b₁ If b₁ b₂ b3 = 1, then a₁ C1 C₂ C3 A-2 b₂ b3 a2 a3 20₁ 20₂ 203 B8 = C2 D-8

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Q: 21. Starting again with the container of marbles in problem 19, suppose you pick a marble out and…

A: 21) Number of marbles in a container is 12. Number of red marbles is 4. Number of white marbles is…

Q: 4 -5 - 2 – 2 1 1 3 Compute: 2 5 3 5 5 3 2 0 -2 4 3 Preview

A:

Q: 8 12 F dt 2.

A: Given: I=∫148t-12t3dt   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: 2 3 Use the substitution scheme and the matrix 1 4 7 L2 3 61 Code the message "Engineering".

A: The below table is used for encrypting and decrypting messages. Alphabet A B C D E F G H I…

Q: An economy is based on three sectors - agriculture, manufacturing, and energy. For each unit of…

A: According to the given data, determine the intermediate demands:

Q: Let 4 -1 1 4 -3 A = 1 14 4 1 2 4 Find M21 and C21. M21 = i C21 i

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Q: 6. What 3 x 3 matrix exchanges rows 1 and 2, but leaves row three alone?

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Q: ble, then enter the rule that is applied to each ro Input 300 400 500 600 Output 2700 3600 4500 5400…

A: given data  input output 300 2700 400 3600 500 4500 600 5400 200 1800

Q: [ 5 8 . Determine x and y if: ]3 4] 23 34

A:

Q: 4 -2 1 -2 A = -3 1 -2 3 1 -1 -1 determine the following entries: a32 = a21 = a13 %3D

A: Given matrix is A = 4-21-2-312-231-1-1

Q: 2 2] 2. Solve for x, y and z. -5 6

A: We will solve the problem

Q: Dimensions: 2. Location of -3: For #2-3, simplify by adding or subtracting expressions that are…

A:

Q: reflect matrix 14 51 across x=-5

A: Please find attachment for the details solution

Q: x-7 y = 4 3. X-9y-4

A:

Q: hat is the equation of the line that passes through A(7,3) and B(2,0)?

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Q: 3 . If 4C + 2 [10 0 , find C. 4 2

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Q: Find u - v, 2(u + 3v), and 2v - u. u = (4, 0, -8, 6), v= (0, 2, 6, 4) (a) u - v - (b) 2(u + 3v) (c)…

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Q: Lashonda, Hong, and Bob served a total of  80  orders Monday at the school cafeteria. Bob served…

A:

Q: 2. 86-=Z-

A: Given equation: -2x2=-98 Divide both side by -2 -2x2-2=-98-2x2=49

Q: At the office, the department manager has two different types of advertising projects to work on.…

A: Project A has 4 ways to work on. Project B has 3 ways to work on.    Project A and Project B are…

Q: (3+5i)- (2-1)- 1+6i o 1-6i 6+i 2-4i C

A: When two complex number are added, the real parts are added with each other and the imaginary parts…

Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

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Q: 4 4.x1 -3x2 +2x3 +4x4 = +x2 +2x3 +2x4 -2x2 +4x3 +6x4 = 10 3x1 -2x1 +2x2 +4x3 +4x4 = x2 +s +t %3D x3

A:

Q: [1 -2 -1] Let A- 2 4 l3 0 -2 -1 3 and B- 3 2 . Express the second column of AB as linear…

A: The objective is to express the second column of AB as linear combinations.

Q: 4 نقاط * find each of a,& b 3 – i 2 – 2i - If a + ib = then 2+ 3i 1- 5i

A:

Q: Which of the following is true because of the Commutative Law of Multiplication? 15 x 3 = 45…

A: Commutative Law of Multiplication: multiplication of two numbers is same, even if the positions of…

Q: (2+i)(1+3i) - 2+ 4i =

A: we have  2+i1+3i¯-2+4i ....(i) where 1+3i¯ is the conjugate of 1+3i. To find the conjugate of 1+3i…

Q: Find C - A + B -4 3 [ 3 2 -3 6.5 1 6) A = 6 6 V14 1 C = 1 - 3 6, B = 1 11 3 - 9 2

A: Given, The matrices A = 5-366614 B = -436.511311 C = 321-1392  We have to find C-A+B

Q: -8 [4-17 ब-५-५० o 06521 -307 ऍ 7

A:

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.