3. Choose the matrix that is equal to the matrix below. 0.82 2 12 4 5 9 19 082 2 0.6 [B] 12 4 10 3 0.1 0.82 2 0.6 [A] V3 81 0.01 12 4 25 9. 0.82 2 0.6 0.82 4 03 [C] 12 4. 25 [D] 12 4 25 9. 3 0.1 9 3 0.1

Q: define: zero matrix

A:

Q: Describe the procedures to find the factor of a matrix, matrix norm, column norm and row norm.

A: Factor of a matrix: Let, A=1abc1bca1cab Performing row operations on it, 1abc1bca1cab…

Q: Define Square matrix?

A: A matrix is the arrangement of data in rows and columns.

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: Describe the column space of a reduced row echelon matrix R.

A: Leading 1: When the leftmost entry in a row is 1 and all the entries above and below of the leading…

Q: Suppose that  |A| + |B| = |A + B| , find a 2x2 matrix for A and B

A:

Q: Find the 3x3 matrix that induces the described action on R3. Rotates the xy plane by 30 degrees,…

A:

Q: Suppose up to 300 cars per hour can travel between any two of the cities 1, 2, 3, and 4. Formulate a…

A: Suppose up to 300 cars per hour can travel between any two of the cities 1, 2, 3, and 4. We have to…

Q: What is the multiplicative identity matrix?

A: According to the question, we have to define the multiplicative identity matrix. As the above…

Q: Define the matrix square root?

A:

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: Explain why v = ( 1, 0, -1) cannot be a row of A and also in the nullspace.

A:

Q: How do you know whether a matrix is invertible?

A:

Q: x1-3x2 = 1 -8x1-7x2= 1 3x1+2x2 = 4 -10x1-x2 = -2 You can resize a matrix (when appropriate) by…

A: Answer given below.

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: Explain the rank of a matrix?

A: The rank of a matrix is defined as the maximum number of linearly independent column vectors in the…

Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)=x₂…

A:

Q: Please compute the next matrix

A: The solution is provided for A. We shall solve B and C.

Q: Determine whether the following matrix is invertible by finding its determinant. 4 -14 -56

A: Consider the matrix 14-14-56

Q: 3 - 3 1 /- 1

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.