Part II 1 2 3 The matrix A has rank A can be written as 2 4 6 A uv", where u and v = 2 00

Q: If A is an 7 x 12 matrix, then what is rank A² + dim nul (A²) equal to? Your

A: We can solve this as follows:

Q: 1 1 6. Let B= { 1 } and y={ 1 |. Find the change-of-coordinates matrix from B-coordinates to…

A:

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: S[y] given by y = cosh æ + B sinhx, 0 0,

A:

Q: 20. The following are rules of transposition of a matrix except: (explain) a. (A")" = A b. (A + B)"…

A:

Q: Let A and B he two matrices of size 3 x 3 such that det(4) = 2 and det(B) = 3. Then det(38" A") = О…

A:

Q: High order of tensor cannot be represented by matrix ylgn O ihi O

A: Given a statement

Q: What are L and D (the diagonal pivot matrix) for this matrix A? What is U in A = LU and what is the…

A:

Q: what value is in the 2nd row 2nd column of V x 3Q [3 4 -31 Г2 3 V = |0 -1 Q = 18 5 %3D 12 -2 1 1 5…

A:

Q: xx+24=5x² fpyonbouy of anyos

A: We have xx+24≤5x2 Consider:…

Q: ; = \57 -77 -80/ В — 42 72 75 4 288 -82 -1 4 а. Find B-1

A:

Q: 3 1 A B= 6 -5 -6 (1) Find a matrix C which satisfies 2A+ C = B. C = (2) Find a matrix D which…

A:

Q: What is 'a', if B as shown below is a singular matrix?

A: A singular matrix is a matrix whose determinant is zero.

Q: det(cA) = c det(A) Insert a number to sho

A: Given that  A is an n×n matrix and c is a scalar. Check whether detcA=cdetA is true or false.

Q: VI Using the matrix B and its inverse solve the following problems. [1 3 3 B = 1 4 3 1 3 4 7 -3 -1 1…

A:

Q: For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)?

A: Here, matrix is,

Q: PS2.4 Compute the matrix-vector products Ax below by definition (see the definition on page 2 of…

A: Ok

Q: Let A be a 2 x 2 matrix. If det (A) # 0, then det (adjA) = det (A).

A: The answer are as follows

Q: Question 2. Write the 4 × 4 matrix of entries [a] with aj %3D i+2j

A: To Find: 4×4 matrix of entries aij with aij=ii+2j. Concept:…

Q: 3-1 3-2 Diagonalize the matrix A = [] into TAT-¹. Note that you are asked to find the A and T.…

A:

Q: Part 1: Find the inverse of the matrix A, if it exists. A 033 -4 03 o] 060 06

A: The matrix is: A=033-403060 To Do: We have to find the inverse of the matrix if it exists.   Note-…

Q: Problem 1 Let A and B be matrices of a size such that AB is defined. Then show that '(AB) =t B'A.…

A: Solution

Q: 5 10 1A=(31) and B=(219).find 8 -2 1) (a) (AB) (b) BTAT 2) If (3)(3-(29(2) 3) Find the inverse of…

A:

Q: Diagonalize the matrix, if possible -1 4 -2 A = -3 4 1 = 1, 2, 3 -3 1 3 Upload an image or PDF of…

A: matrix has no repeated eigen value (have 3 district eigen values) so it is diagonalizable. we will…

Q: Find the inverse of the matrix A, if it exists Show A= 04 -407 030)

A: Here we have to find the inverse of the given matrix.

Q: Par+ 1 Let A be square matrix and C= A-A, then Cis symetric True False ?

A: Part 1- Given-  If, A be a square matrix and C=A-AT, then C is symmetric matrix. To Check- If the…

Q: 2 A= 2 4 3 一 1 -2 1 (i) Find A by using cofactor method. (ii1) Find (4) by using adjoint matrix. 19

A:

Q: O Given the matrices 3-1 A =| 0 aud B=| 2 -1 31 eveluate aund simplity a) G = AB B) D = BA-3B2 c) E=…

A: We are given the matrix is A and B and we need to calculate the matrix C , D and E in simple form.

Q: Let A be the 100 by 100 matrix whose i, j entry is (−1)²-¹ + 2/-¹. For example, the top left 3 x 3…

A:

Q: Let A= I O -2 I . express A as the sum of two rank one matrices.

A:

Q: en the matrix frix.

A:

Q: Matrices A and B are given as 4-1 (1 2 3 7 A=-1 0 4 and B=-1 -1 2 - 0 2 2) 1 1 -1 1 (a) Find the…

A: The order of a matrix is defined as m×n, where m is the number of rows and n is the number of…