Exercise 2. Let us consider a Leontief model with only three industrial construction and transport, sectors: energy, interconnected in the way that is expressed in the following table: Energy Construction Transportation Consumer demand 0.4 0.2 0.1 0.2 0.4 0.15 0.2 Energy Construction Transport 0.1 0.2 100 50 100 How many units of each factor (energy, construction, and transportation) must be produced and supplied to ensure that consumer demand is satisfied. X = (1-A)-¹D

Q: Solve using inverse matrices

A:

Q: Solve for X in the matrix equation 3X + A = B, 6 and B = -2 -12 4 where A = -5 4

A: Given: 3X+A=BA=46-50B=-2-1241 To Find: To solve the given equation for X

Q: Can you please show me how to write 2Z, 6Z & 8Z?  I know that 2Z has only 2 elements, correct?…

A: We have to show that how to write 2Z, 6Z, & 8Z

Q: 39. In rectangle LNCH, LN and CH are opposite sides. If LN = (5y - 25) cm and CH = (3y +17) cm, find…

A: Given: In rectangle LNCH, LN¯ and CH¯ are opposite sides.LN¯=5y-25 CH¯=3y+17 To Find: The lengths of…

Q: Solve by Matrices method

A: Given system of equation is 2x1−x2+x3=8x1+2x2+x3=6x1−2x2−x3=1........1 Now write the the system (1)…

Q: Use inverse method in solving and show complete solution. (Matrix) An airline sold 226 tickets for a…

A:

Q: Solve using augmented matrix methods 5x¹-x²=6 15x¹-3x²=-18

A: The objective of the question is to solve the system of linear equations using the augmented matrix…

Q: A football team can score safeties (2 points each), field goals (3 points each), touchdowns (6…

A: Given that, Safeties is 2 points Field goals is 3 points. Touchdowns is 6 points. Touchdowns with…

Q: solve by finding an inverse matrix 2x+y=6 x+2y+z=12 x-y-z=-5

A:

Q: x1 + x22x3 4x13x2 + x3 3x12x2 + x3 = 4, = 0, = -2.

A:

Q: Write x = -t³x2, x, = 4t³x2 in matrix notation. Solve and write the solution in matrix notation.

A: We are given a system of nonlinear first order differential equations : x1' = -t3x2  and  x2' =…

Q: Solve using a matrix x - y + 5z = 194x + z = 3x + 3y + z = -9

A: According to the given information it is required to solve the given equations using matrix method.

Q: 1. Solve with matrices: -7x₁ +5x2 - 6x3 = 3 5x12x2 + 3x3 = 5 X1 X2 + x3 = -2

A:

Q: How to multiply on a problem

A: we should multiply step by step  as if given problem is (x+2) if we multiply it by 2 than  wr can…

Q: find the matrix of x12+4x1x2+6x2x3+2x32?

A:

Q: Let If A is 2x2 matrix and /(4)=0, then %3D

A:

Q: 9. Solve the following system using a matrix and converting the matrix to reduced row echelon form,…

A: The given equations are;  3x-2y+5z=14 x-y+3z=5 4x+y+6z=1.

Q: Solve using a matrix 4x + 6y = -182x - 4y = 12

A:

Q: Explain an example of Block Multiplication.

A: To Do:We have to explain an example of Block Multiplication.

Q: Solve using augmented matrix methods 6x¹+    3x²=9 -4¹-      2x²=-6

A: Answer...The system have infinite solutions.Solution set is ...X1= (3-t)/2X2=t               here,…

Q: Solve with matrices. 5x−3y=18 and 2x+7y=−1 Indicate each matrix with the vertical bar (|) symbol…

A: Given system of equation  5x-3y=18  2x+7y=-1we solve by matrix

Q: Write the system of equations 2x12x2 = 1 7x13x2 = 2 in matrix form. By finding an appropriate…

A: Step 1:Step 2:

Q: What are the two formulas for the sum of squares?

A:

Q: Factor

A: We have to factor completely the following polynomial: - x2 + 5x - 6

Q: How to solve row echelon form

A: The given question is related with matrices. We have to explain the row echelon form of a matrix. We…

Q: solve using matrices wy+xz=1 wz+yx=0

A:

Q: Find the solutions x and y from the augmented matrix. Please show solving steps

A: By row transformation, we have to transform this augmented matrix such that left side becomes…

Q: Solve using matrices: 2x + 3y - z = - x + 2y + 3z Зх + 5у — 2х %3D — 3. 2 %3D

A: Given: 2x+3y−z=−1x+2y+3z=23x+5y−2z=−3 Writing in matrix form, 23−112335−2xyz=−12−3 In echelon form,…

Q: Perform the indicated matrix operations:

A: -4  3  7-6+6-32-4

Q: What do between-rows sum of squares equals to?

A:

Q: Xj +2x, = 4 X – 3x, – 3x, = 2 X3 + x, = 0

A: Answer