Find the general solutions of the systems whose augmented matrices are given

Q: Show that the system of linear equations 2x + 3x₂ + x3 = 5 x₁ = 4x₂ + 5x, = 8 - can be written as…

A: To show that the system of linear equations2x1+3x2+x3=5x1-4x2+5x3=8can be written as the matrix…

Q: Express as a single matrix.

A: The matrix we have is  2014-2302-3451

Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

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Q: Convert the augmented matrix 4 -1 -4 - -1 -4 0 5-2 to the equivalent linear system. Use x1 and x2 to…

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Q: 2x+y=30 x+4z=20 2z+y=10

A: Given equations are: 2x+y=30 x+4z=20 2z+y=10 Then we get, y=30-2x So we have, 2z+30-2x=10…

Q: Write it in five step augmented matrix  -9x-5y=7 -6x-6y=2

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Q: Write down the 4×4 3D matrix to scale an object by 50% in all directions.

A: We have to write down the 4×4 3D matrix to scale an object by 50% in all directions.We know…

Q: Provide an example of an elementary matrix for each of the three types of row operations and clearly…

A: The three types of elementary row operations on a matrix : (1) Interchange two rows (2) Multiply…

Q: Give a specific symmetric 3x3 matrix whose first row is [1 9 -2] 6. and whose second column is row…

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Q: Determine if the statement is true or false. If two matrices are equivalent, then one can be…

A: According to the definition, Two matrices are said to be equivalent if they can be transformed into…

Q: Give two examples of a 2 x 2 matrix with no inverse (singular). Note: Show the complete solution

A: Given the example of 2x2 matrix which is singular.

Q: How to get Linear equations from matrices ?

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Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

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Q: If the nulI snace of a 30x17 matrix is 13-dimensional, find the rank of the matrix.

A: We have been given the matrix which is of 30 x 17 i.e it has 30 rows and 17 columns. And it is also…

Q: Multiply [ab] times [_d -]. What is the inverse of each matrix if ad + bc?

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Q: What do 2 × 2 matrices represent graphically?

A: 2 × 2 matrices represent:

Q: Explain why the number of columns in matrix A mustequal the number of rows in matrix B when finding…

A: Consider the provided information, The number of columns in matrix A must equal the number of rows…

Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

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Q: Answer is supposed to be in the form of a 4x4 matrix

A: Ans- Given the input-output table involving four sectors of U.S economy in the year of 1977. To…

Q: Matrix B:

A: Given two matrix A and B  ,we have to find the value of A-B.

Q: can you put the answer in matrix form

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Q: Find the augmented matrix of the linear system. Зx, + 2х2 - X3 = 1 + X3 = 0 5x3 = 0 X1 -X1 + 2x2 3 1…

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Q: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: We learned about matrices, determinants, and inverses. Provide a short explanation of what role…

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Q: -) Use the inverse of the coefficient matrix to solve the system: x₁ + 2x₂ + 2x3 = 2 x₁ + x₂ + x3 =…

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Q: How can we determine the cofactor for each element in a matrix?

A: Query- How can we determine the cofactor for each element in a matrix? Answer-  The first step…

Q: If a 6 x 6 matrix contains 19 zeros, show that there are 4 zeros which are all in distinct rows and…

A: A 6x6 matrix has 36 entries. Given if a 6x6 matrix contains 19 zeros, then to show that there are 4…

Q: Write a C++ Program to find highest and lowest element of a Matrix

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