1. Calculate AB by two methods, first performing 2 matrix-vector multiplications and second by row- column multiplications -1 2 4 -3 A = 5 2 B = 3 -2 -2 1

Q: How would you notate a zero matrix with two rows and four columns?

A: In order to denote a zero matrix with two rows and four columns, just fill the zeros in each entry…

Q: Express the following system of linear equations as a vector equation: -4x1+3x2+6x3 = -7 -3x+3x₂-4x3…

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Q: (2x1+3x2 - x3 +3x4 + X5 = 176 | 3x1 + x2-4x3 + 3x4 - x5 = 0 X1 + X2 + 3x3 - 4x4 + 2x5 48 %D X1 + 2x2…

A: The given…

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: The total number of passengers riding the city bus on Monday was 1000. If it cost $1.25 for children…

A: Given: The total number of passengers are 1000,            Cost for children is $1.25,…

Q: Write the system of equations as a single matrix equation: Ax = b 7x1 + 18x2 = b₁ - 2x1 5x2 = [b]…

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Q: Let A be a 4×5 matrix with 4 pivots. Do the columns of A span R4? Do they span R5? Justify your…

A: As A is a 4 x 5 matrix with 4 pivots so, it has a pivot in its every row. So, yes the columns of A…

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

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Q: 2. Analyze first the given matrix and identify the most appropriate tool to use and why. -1 2 4 3 2…

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Q: The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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: Write the augmented matrix of the system 36x 2x 77x +6y +64y +33z -Z = || || || = 6 -5 = -1

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Q: -4 -2 (1 point) If A = 1 2 - 3 and B -2 1 4 then -4 1 4 -3 -4 4 AB = and ВА — Choose v True or…

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Q: Determine the row rank of the matrix 145 2 8 10 3 64 Possible Answers: 3 0 1 2

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Q: Express the following system of linear equations as a vector equation: +7x2-10x3+2x4 = 4…

A: The given linear equation system is

Q: X1 + 2x2 + X3 3x1 – x2 + 2x3 = = 2 3 %3D X1 – 2x2 + X3

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

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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: IFagx3 matrix and its inverse are multiplied together write the product. A. 00 1 0 00 B. 0 10 000

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Q: Solve the system of equations {−9x+9y=360 {-5x-4y=-529 by converting to a matrix equation and using…

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Q: Express the following system of linear equations as a vector equation: -2x7+5x3 = -6 = -2…

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Q: Fill in each matrix for diagonalization of the matrix A = A = PDP-1 3 Ex: 5 30 1 4 -6 19 1 1 IG

A: We have to fill in each matrix for diagonalisable of the matrix.

Q: Write the augmented matrix form: a + 2b +c + d = 1 a - af – b + c - cf + 3d – df + ef2 +ef -2e – f²…

A: Given: The system of equations, a+2b+c+d=1 a-af-b+c-cf+3d-df+ef2+ef-2e-f2=-1 2a+4b+3c+3d-f=3…

Q: Solve the matrix equation AX = B for X -5 -4] -61-0 B = A = X =

A: