(3) The natural logarithm of square matrix X can be defined as In X = c, (X – I) + c2(X – 1)2 + c3 (X- 1)3 + c4(X – 1)* + c5(X – 1)5 + .. with Cn (n = 1,2, ..) derived in (4) and the corresponding unit matrix I. Calculate and give In U5, and then give In L5.

Q: - 1 and C -5 3] 3 -2 5 В -3 5 | Given the matrices A -5 1 for the matrix X in the equation AX + B =…

A: Given,          A=-25-35 , B=3-1-21 , C=-53-51           The equation is AX+B=C.

Q: If A, B and Care 4 x 4 matrices, and BAC = -21₁, then what is the inverse of A? (a) -2B-¹C-¹ (b) BC…

A:

Q: How to get Linear equations from matrices ?

A:

Q: Explain how to determine whether the inverse of a matrix exists. If so, explain how to find the…

A: The inverse of a matrix exist if  ad−bc≠0 that is |A|≠0 , then A−1 is well defined and so A is…

Q: Solve the matrix equation -[ 4 6. 3 4 -3 | 3 5 5 7 1 -

A:

Q: Explain Equality of matrices. Give a suitable example.

A: Equality of matrices:Two matrices are equal if all three conditions given below are satisfied: ·…

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: The product of a 5 ´ 3 matrix and a 3 ´ 5 matrix is

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

Q: 2. Let A = cola (b) Find lim A". 84x 3 9 4 5 (a) Find a matrix B so that B² = A.

A:

Q: ): Find the Inverse of Matrix (4 x 4).

A: There is a particular way to find the inverse of any n×n matrix. As, if we want to find the inverse…

Q: Matrix multiplication is always commutative? justify it.

A: Matrix multiplication is not always commutative.

Q: Explain how The Matrix Form of the Equations.

A:

Q: Could you explain the diference between coefficient matrix, variable matrix, and constant matrix in…

A: Concept to be used:The terms coefficient matrix, variable matrix, and constant matrix are related to…