1 c) 0 0 - 2 j 4 + j d) 70 4 0 - 2 10 4 10 5 j 4 - j 3

Q: In 3-D, let L be a line that does not pass through the origin. let v1, v2, and v3 be three vector…

A: We have to decide there vectors v1, v2, v3 are linearly indipendent in R3 or not.

Q: Find two 3 x 3 matrices A and B such that det(A + B) + det(A) + det(B)

A:

Q: Let A, B be  matrices of the same order. Then det(A+B)=det(A) + det(B).  True or false

A:

Q: b) 0 1 - 1 0 | 2 3 2 - 3 。

A: The given matrix is                              A=   0  1   2-1  0-3-2  3    0 We have to check the…

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: O True

A: True

Q: Evaluate det (A) for the matrix A=($ 2).

A: Given matrix is A=8254 The task is to find the inverse of the given matrix.

Q: Let A and B be similar matrices Show that if A? = A then B = B.

A: Two matrices C and D are said to be similar matrices if there exists a non-singular matrix P such…

Q: Characterize the image and kernel of the following matrices: 1 (443) -2 2 2

A:

Q: Let V = [- 7, – 7,0] and V½ = [0, 3, – 4]. Use the Gram- | Schmidt procedure to construct an ordered…

A:

Q: -i [1 1. |0 li 4+i -2 4 – i 3.

A: To find out the given matrix is real , symmetric, skew-symmetric, hermitian or skew-hermitian .

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: Let A and B be square matrices of the same size. (a) Prove that if A and B are both diagonal, then…

A:

Q: Let A and B be two 4 × 4 matrices with rank(A)<4. Then rank(A²B)<4. Select one: O True O False

A:

Q: determine which of the following matrices are nonsingular:

A: to determine the matrix which is non singular.

Q: Let A and B be square matrices. If AB is nonsingular, prove that both A and B are nonsingular.

A:

Q: Let A be an m × n matrix and let B be an n × p matrix. (a) Prove that Col(AB) C Col(A). (b) Use part…

A: i have given the formulas what i have used and where i have used

Q: IV. Classify each of the following matrices according as it is (a) real, (b) symmetric, (c)…

A:

Q: Solve the given differential equation : dy x² – 2xy = 3y*, y(1)=1/2 dx

A: We will find out the required solution.

Q: 5. Classify each of the following matrices according as it is (a) real, (b) symmetric, (c)…

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