4. A = -1 0 5-2 245 0 -3 , B= 7 650 -3 -4 2 -1,c=7,d=5 7 9

Q: Express as a single matrix.

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

Q: Let A be an nxn matrix and B= A+ I, where / is the identity matrix, then it is possible for A and B…

A:

Q: Suppose that matrix A has dimension 5•3 and that matrix B has dimension 3•5. Decide whether product…

A: Given: The matrix A has dimension 5×3 and that matrix B has dimension 3×5. To Find: To decide…

Q: Express as a single matrix.

A: Given: 3200-2030 we need to express into single matrix so we multiply the matrix

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

A: Sij is called as similarity matrix.

Q: Two matrices A and B and two numbers c and d are given. Compute the matrix CA A = CA + dB = 6 -4 9 4…

A:

Q: for the two matrices shown , Find the * (multiplication (A.B a- [; ;],»-[; *] 2 B = 4 1 1 A = 2

A: Topic: matrix multiplication

Q: Explain the fact Every rank one matrix is one column times one row.

A: Every rank of a matrix is one column times one row is not accurately correct.

Q: Given two matrices A and B, how can you determine the order of AB, assuming that the product is…

A: Let order of A is mxnAnd let order of B is nxp (because product of AB is defined)

Q: 8, a13 -9, a12 = -1, a23 4, a11 = -5, a21 10. %D Write a 2 x 3 matrix A with the following entries:…

A: For a n×m matrix, the number of rows is equal to n and the number of columns is equal to m. The…

Q: Let A and B be two 4x4 matrices with rank(A)<4. Then rank(AB)=4. E ((C Select one: OTrue OFalse

A: We know that  Rank(AB) = min{rank A, rank B} Since Rank A &lt; 4

Q: Given two nxn matrices A and B, what are the criteria for the matrices to be inverses?

A: Given the matrices A and B of order nxn.

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

A:

Q: Give an example showing that the rank of the product of two matrices can be less than the rank of…

A:

Q: Find two non zero matrices A and B such that AB = 0. %3|

A: Find the two matrix which satisfy the given condition

Q: Let A, B be 4 x 4 matrices. Find two matrices so that rank(A) = rank(B) = 2 and rank(AB) = 1. A = B…

A:

Q: If A and B are nXn matrices, then (A-B) =A-2AB+B Select one:

A: A-B2=A-BA-B=A2-AB-BA+B2

Q: If A and B are square matrices of the same size, is (A + B)2 = A2 + 2AB + B2?

A: In matrices, the commutative properties are not valid. That is order of the matrices multiplication…