Suppose A= #B+C where B is symmetric and C is skew-symmetric matrices, 56 B = b12 then byn %3D O a. bu =0 %3D O b.bu 2 %3D %3D o d. b=3

Q: Suppose A, B, and C are all n x n matrices, then a. A 0 = = -|A| x |C| в с B C A 0 с В 4 n B C Rx C…

A:

Q: If A and B are sk ew-symmetric 2 X 2 matrices, under what conditions is AB skew-symmetric?

A:

Q: Consider the two matrices: 4 -5 1 B = A = -6 -3 Compute A +3B. The result is equal to:

A: GivenA=24-60 B=1-5-32To compute12A+3B

Q: |, and d(A, B) for the matrices in M2.2 using the inner product (A, B) = 2a11b11 + a21b21 0 0 B =

A: We have to find the following given condition

Q: Which of the following matrices is elementary matrix? To 31 liol a. C. [2 01 d. [2 b.

A: Since your question has multiple subparts we have solved the first three subparts for you.  Identify…

Q: If A and B are 8 x 2 matrices, and C is a 6 x 8 matrix, which of the follovwing are defined? Note…

A: Given that:    A8×2[B]8×2  [C]6×8

Q: Suppose A is a 4 x 5 matrix with rank 4. Wha А? O Col (A) = R+ O Nothing O Col (A) # R O Col (A) =…

A: We cannot say anything about it. Since we do not know anything about its determinant. We just know…

Q: Let A, B and C be n x n matrices. Then (2AT + BC)T 2A-CTBT O is equal to the above 2A + CTBT is…

A:

Q: If A and B are (n x n) matrices, then e"e a) True b) False

A: Any expression written in the form of ex form is known as exponential form. Property of exponential…

Q: If A and B are 8 × 5 matrices, and C is a 4 x 8 matrix, which of the following are defined? O A. C +…

A:

Q: Let A and B be 6 × 5 matrices. If dimN(A) = 2, what is the rank of A? If the rank of B is 4, what is…

A:

Q: consider the 2 × 2 matrices A b C d where a, b, c, d ∈ {1, 2, 3}. If you were to form a matrix at…

A: Each of a,b,c,d has 3 choices. So there are 34=81 possible matrices.A matrix will not have inverse…

Q: Let A, B, C, D be n x n matrices, each with non- zero determinant, If ABCD = I, then B-l is

A:

Q: If A=2B where A and B are square matrices of order 3x3, and det(B)%3D5, what is det(A)? Select one:…

A:

Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

A:

Q: For any two 3 x 3 matrices A and B, we have (А + B)(А — В) — А? — АВ + ВА - В?

A: Given statement: For any two 3×3 matrices A and B, we have

Q: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

A:

Q: Suppose A and B are 3x3 matrices with det A = 2 and det B = -3. Find det(2BTA-B).

A:

Q: If the null space of a 9x5 matrix is 2-dimensional, find rank A, dim Row A, and dim Col A. O A. rank…

A: We have to find dimensions of row space,  oln space

Q: Select the pair of matrices, A and B , for which AB = 0, even though A + 0 and B 0. 6 4 1 -1 O A =…

A:

Q: Suppose that A&B are n x n matrices and A² B = I, then O a. A-1 = BA %3D O b. A-1 = AB %3D OCA-1 = A…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: , suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (4 x 5) (4 x 5) (5…

A: Rules for matrix algebra: 1 Two matrices A and B can be added and subtracted if and only if both the…

Q: If B and C are all invertible n x n matrices, then BC-l is the inverse of BC. O True O False

A:

Q: Suppose A is a square matrix. Show (a) A+A" is symmetric, (b) A – A" is skew-symmetric, (c) A= B+ C,…

A: Sum of symmetric and skew-symmetric matrix is matrix it self. Like for matrix A, Symmetric matrix =…

Q: If A and B are 5 × 4 matrices, and C' is a 3 × 5 matrix, which of the following are defined? DA. В +…

A:

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A(4x 5); B(4X 5); C(5 X 2):…

A: Size of matrix

Q: Given the matrices below and that A = LU, complete L-1, U-1, and A-1, 1 -3 -2 1 -3 -2 A -5 16 12 L =…

A: Given The given matrices are A=1-3-2-516121-4-3 L=100-5101-11 U=1-3-2012001 For the inverse matrix,…

Q: If A and B are 8 x 2 matrices, and C is a 4 x 8 matrix, which of the following are defined? DA. BTCT…

A:

Q: If AB=AC, where A, B, and C are matrices, then this implies that B=C. O True O False

A: A-1A = A A-1 = I  Where A-1 = Inverse of A               I = Identity matrix

Q: If A and B are (n x n) matrices, then e" = ". a) True b) False

A: True

Q: Suppose A = = B +C where B is symmetric and Cis skew-symmetric matrices, (5 6 b b12 b12 b2 then %3D…

A: Matrix A is symmetric if and only if  AT= A Matrix B is skew symmetric if and only if  BT= -B…

Q: Show that if A and B are n × n matrices and N(A − B) = Rn then A = B.

A:

Q: Given the matrices below and that A = LU, complete L¬1,U-1, and A-1. 1 -2 -1 1 01 -2 -1° A= 2 -3 -5…

A: We use Gauss elimination method to find L-1, and U-1. After that by using (LU)-1=U-1L-1, we find…

Q: if A and B are 3x3 matrices such that det(A) = -5 and det(B) = 4, find the values of the following…

A: If A and B are 3x3 matrices such that det(A) = -5 and det(B) = 4, find the values of the following…

Q: If A = d -5 is a skew-symmetric matrix then C. %3D 3. e O a c=2 and d30 O b.c=0 and d=-2 Occ=0 and…

A:

Q: If A and B are 2 x 8 matrices, and C is a 9 × 2 matrix, which of the following are defined? А. А C…

A:

Q: f A and B are 6 × 3 matrices, and C is a 7 x 6 matrix, which of the following DA. BC В. А + С C. CB…

A: All the parts are solved below.

Q: If A=2B where A and B are square matrices of order 3x3, and det(B)%3D5, what is det(A)? Select one:…

A:

Q: If D is a 10 x 10 diagonal matrix with D5.5 = 2 (the entry in row 5 and column 5 of D), then what is…

A: The solution is given as follows :

Q: Find Hhe uinuerse of the matrix (if it exis ts). (if an answer does not exist, enter DNE.) 1 -3 -1…

A: Note:-  We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: Given the matrices Anxm, Bnxp, Cnx n ₁ Dm x p , E p : ‚ B₁ x p ₁ C ₁ x n , Dmxp , Ep xn and Cnxn is…

A: Note: Inverse of a singular matrix does not exists.

Q: Suppose A = is positive definite matrix then: 10 O a. Ja| V20 O c. la| < 20 O d. a < -V20 2.

A: Since positive symmetric metrix Det(A)&gt;

Q: If a and b are the matrices of order 3 and (A)=5,(b)=3 then find the vailue of 3ab?

A:

Q: 2 3 %3D Suppose A B+C where B is symmetric and C is skew-symmetric %3D 56 bu b12 :) matrices, B then…

A:

Q: If A=2B where A and Bare square matrices of order 3x3, and det (B)=5, what is det(A)? Select one: a.…

A:

Q: If A and B are nxn matrices, then (AB)²=A²B²_ A) True B) False

A: Solution

Q: If M and N are square matrices of the same size, then (a) M²-N² =(M+N)(M – N) (b) M' +N° =(M + N)°…

A:

Q: Consider the following matrix: P = B = D= b3 Then the [P] is: ral a2 00 a3 a4 0 0 b1 b2 dl d2 Lb3 b4…

A:

Q: Show by counterexample that (AB)−1 ≠ A−1B−1. That is, find two matrices A and B for which (AB) -1 ≠…

A: Let

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.