Four MBA students take the same six courses at graduate business school. Their final marks in these courses are recorded (out of 100) in the matrix M = [m] where Page 9 of 10 the final mark in course j for MBA student i ow - Coulum mij = (a) State the matrices C and Q such that (i) the entries in the product MQ are the overall average final marks for cach student and (ii) the entrics in the product CM are the overall average final marks for each course. (b) State the matrix R such that the entries in the product RM represent a 5% increase in the final grades for all students in all courses. (c) Suppose the marks in M are altered as follows: the final mark for each student in Course #2 is reduced by 3 points, the final mark for each student in Course #5 is increased by 5 points, and all other marks remain unchanged. State the matrix K so that the sum K+ M has entries that reflect the alteration of the marks as described above.

Q: Find an LU factorization for the matrix A = -2 3 4 1 -3 0 2 3-2, Verify that LU = A.

A:

Q: Define Identity matrix ?

A:

Q: Find the transpose of the Attached matrices

A: Transpose of a matrix is obtained by interchanging the rows into columns and columns into rows.

Q: calculate the matrix cofactor using sign convetion  + - + - - + - + + - + - - + - +

A:

Q: F) Create 3x5 matrix named MA and then eliminate all the rows of columns 2 through 4.

A: First we have to create a 3/5 matrix . Then we have to eliminate the second column using fourth…

Q: ✓ 1.6 Each pair of matrices differ by one row operation. Use this operation to compare det(A) with…

A:

Q: to B=101 t00 select all true •If AB =Ithen BA=I AB=I 'AB=I but nut BA=I "BA-I inone of these %3D

A:

Q: Create a world transform matrix that translates by 3, 5, 7 and rotates 80° about the x-axis.

A: Detailed explanation mentioned below

Q: What is the name of the matrix, Sij?

A: Sij is called as similarity matrix.

Q: Find the charo cteristica poly no nomi the matrix A = 3. 3. /- P(x) = 1.

A:

Q: Explain row vector in a 1 x n matrix?

A: To analyze row vector in a 1 × n matrix.

Q: 19.

A:

Q: 2 =(², 2). (a) Find the inverse of the matrix A = (b) Find the direct product of the matrices A = =…

A: (a) The given matrix is A=21-12 (b) The given matrices are A=1302, B=12-12 (c) The given matrix is…

Q: Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375,…

A: A matrix that reflects around a line y=mx s given by, 1-m21+m22m1+m22m1+m2-1-m21+m2 Since, the line…

Q: Let I be the rdentity of nxn. Please Compute 3. matrix the matrix funct ions CosT I (i²=-1)

A:

Q: What is the multiplicative identity matrix?

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

Q: Consider the matrix in the image (i) Determine the inverse matrix B^−1 , of B. (ii) Using the…

A:

Q: Explain the concept of Numerical & Boolean Adjacency Matrices in details?

A: The concept of Boolean Adjacency Matrices The adjacency matrix of a simple labeled graph is a matrix…

Q: Define the term Coefficient matrix.

A: Define the term Coefficient matrix.

Q: 10 Let A = -2 1 B (Enter a matrix like -3 -6 -87 Find the product of any two of the matrices. The…

A: The rule of order (or dimension) of matrices for matrix multiplication is as follows:For two…

Q: Find the matrices of the two similarities taking (0, 0, 1) to (-2, 4, 1) and taking (1, 0, 1) to (0,…

A:

Q: Find an SVD of the indicated matrix. (Enter each matrix in the form [[row 1], [row 2], ...], where…

A:

Q: Let matrices A,B,C store factory value of 3 items for the last 20 years, and D,E,F store sale value…

A: Given that, matrices A,B,C store factory value of 3 items for the last 20 years and D,E,F store sale…

Q: Explain the mandatory conditions for the addition of two matrices?

A:

Q: Suppose A +A+I-0 where A is a square matrix then A= A -A-I -2A A-I CS Scanned with CamScanner

A: Now we will find A-1 . Where I is identity matrix.

Q: To divide the LHS by a matrix on the RHS, what steps do you follow?

A: To find: To divide the LHS by a matrix on the RHS, what steps do you follow?

Q: I1,I2,I3 of th

A: Here we have;  11I1+4I2+3I3=-4-15I1+4I2+4I3=163I1+4I2+17I3=3 let;  AX=B  where  A=1143-15443417,…

Q: Formula valid for matrices? explain why? (A + B)(A - B) = A²B²

A:

Q: Q5 // The Following Matrix Product is equal to bläi 10 2 -3 -2 3 -7 5 7 -5. -25 21 49 -46. (1) -25…

A: In the question it is asked to calculate the product result for the two matrix given 2-3-75×-237-5.