Let A, B and C be 2x2 matrices that are invertible under matrix multiplication. Simplify (A CBC)as much as possible.

Q: 1 −1 1 -2 1 2 1 −1 -1 0

A: The given matrix,The aim is to find the inverse of the matrix.

Q: solve by finding an inverse matrix 2x+y=6 x+2y+z=12 x-y-z=-5

A:

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

A:

Q: 5 0 0 0 A = 1 4 -3 -1 -2 0 -3

A: A IS DIAGONALIZABLE.

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

A: Topic: matrix multiplication

Q: TRUE OR FALSE. The product of two m × n matrices is defined.

A:

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: The dimension of the row-space of a matrix equals the number of rows of the matrix. Select one: O…

A:

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: Explain the Elements of Matrix Algebra: Addition and Multiplication?

A: Matrix addition: The addition of two matrices is defined if and only if the order of both matrices…

Q: Find the inverse of the matrix:                    3 3 4                    2 3 2…

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Q: What do 2 × 2 matrices represent graphically?

A: 2 × 2 matrices represent:

Q: The adjoint of zero square matrix is zero matrix and the adjoint of identity matrix is identity…

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Q: Determine whether or not ( ABC )T = C"B"AT for matrices: A, B, C

A: Given- ABCT=CTBTAT To Determine- Whether the above statement is correct or not for matrices A,B,C.…

Q: Describe matrices that cannot be added or subtracted.

A: matrices can be added or subtracted when they had the same number of rows and the same number of…

Q: Illustrate Geometric shapes from 2x2 matrices ?

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Q: An investor receives a total of 5700 per annum in interest from 3 stocks yielding 4%, 5%, 8% per…

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Q: Why did you write the number of columns of A as 3 when the matrix has only 2 columns

A: Let given matrix is Using RANK-NULLITY theorem, we haveRANK(A)+NULLITY (A)=number of columns in…

Q: Find the inverse of the matrix: = 2 1 2 3 - 2 -2 0 0 -1 -1

A:

Q: The product of a 2 ´ 3 matrix and a 3 ´ 2 matrix is

A: When we do multiplication: The number of columns of the 1st matrix must equal the number of rows…

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: solve using matrices wy+xz=1 wz+yx=0

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.