17. 2 1 0 0 -4 2 0 -1 0 12 0 0 0 -4 -5. 2 2

Q: define: zero matrix

A:

Q: find an example of a matrix in V=M3x3 that doesn't have an additive inverse ans should be entries in…

A:

Q: Define Positive Definite Matrices.

A:

Q: Show that the inverse of an invertible lower triangular matrix is lower triangular

A: Given : The matrix A is an invertible lower triangular matrix Then we have to show that A-1 is…

Q: -1 find its inverse A¬'. Check that your inverse is actual in 2 For a matrix A = -3 Ichow vour work…

A:

Q: 315 241 42-9

A:

Q: Use the partitioned matrix technique to find the inverse of: 1 0 0 3 1 4 -5 -1 -1

A: This question is based on Matrix.

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists)

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: Show that the inverse of a nonsingular lower triangular matrix is lower triangular.

A: We have to prove that inverse of a nonsingular lower triangular matrix is lower triangular.

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: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists)

A: The given matrix: 0a0b0c0d0 To find its inverse by using the Gauss-Jordan method.

Q: What is the multiplicative identity matrix?

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

Q: How do you find an inverse of an elementary matrix (especially 3 x3 rows)?

A: Elementary matrix is those matrices that differ from the identity matrix from a single elementary…

Q: Prove that a matrix with a column of zeros cannot have an inverse.

A: Prove that a matrix with a column of zeros cannot have an inverse.

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: What is the Use for transformations of a matrix?

A: To explain the transformation of matrix

Q: Show that matrix multiplication is associative i.e. A(BC) = (AB)C when- ever the multiplication is…

A:

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists)

A:

Q: Let I be the 2 x 2 identity matrix. What is det (-41)?

A: The given data is:  I be the 2×2 identity matrix  To find det-4I Given:  I be the 2×2 I=1001

Q: Use elementary matrices to find the inverse of

A:

Q: State True or False: The Inverse exist only for non-singular matrices. True False

A: Given statement is "True"