The dimension of the space of upper traingular 4 x 4 matrices is Select one: а. 16 b. 8 C. 10 d. 4

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

A:

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: The matrix A5 x 3 may have a rank = 4 %3D Select one: O True O False

A: Answer:   False  As rank of a matrix is always less than or equal m or n if order of matrix is m x…

Q: If A is a 2 × 3 matrix, and B is a 3 × 4 matrix, how many columns does AB have?

A: Given that  If A is a 2 × 3 matrix, and B is a 3 × 4 matrix To find how many columns does AB have

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: d) Consider the following matrices: and B- 2 Find: A- i) (2AB) -1

A: Given A = 1-32-4 and B-1 = 21-11

Q: If 4A - 3B = 2C (where A, B and C are all matrices) then Matrix A can be defined as: %3D Select one:…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.