6.- For the matrices [A] g 3 -2 4 -2; [A] =-5 3 3 2 3

Q: (15) 4. Add the matrices + 25 4 3

A: We have to do matrices

Q: [5] Find three different 2 by 2 matrices that have A₁ = A₂ = 0.

A: Three different 2×2 matrices that have λ1=λ2=0 i.e, both eigen values are 0 are 0100,0020 and -4-284

Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

A: Show that  a) (A+B)T= AT +BT  b) (AB)-1= B-1A-1  For the matrix A and B .

Q: Multiply matrix [1 2 3] by [5 4 2 030

A:

Q: b. -2x+y+6z=18 5x+8 z=-16 3x+2y=10z-3 Write the entries in the inverse matrix as fractions.

A:

Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

A:

Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

Q: Given the matrices below, find B- 2A [2 A= 4 -5 -5 -4 - c-[;} »-G } -[] Choices: -5 -7 6 -3 5 [13 -5…

A:

Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: 2 B= [11] 3 -1 Write B and B-¹ as products of elementary matrices.

A:

Q: 7. 2 1 -1 2 Matrix + 2 Matrix -1 3 11

A: Topic:- matrix addition

Q: Evaluate the following matrix product. [ 1     3 ] [ -2  -2]   [ 4   -5 ] [ 3     2]    [ -2  -4 ]…

A:

Q: 2 (1 2 3 B =25 3 108 C = 2 -1 0 -4

A:

Q: - 6 Compute 2(2A - 3B) if matrix A = and matrix B = 3 - 5 2 -5 2(2A – 3B) = (Simplify your answers.)…

A: Given that: A=413-5B=-6-52-5   NOTE: As per our answering guidelines, we can only answer 1 question…

Q: If A and B are square matrices of the same size, is (A + B)2 = A2 + 2AB + B2?

A: In matrices, the commutative properties are not valid. That is order of the matrices multiplication…

Q: (d) ] Find A' A (e) ] Is AB = BA? %3D Find the inverse of B

A: Given the matrices :

Q: Consider the two matrices: Compute A + 3B. The result is equal to: Select one: O a. O b. OC. O d.…

A:

Q: nown belOw: [5 31 T -41 by L-3 -2] [ 3] А. 1-11 6| В. |11 c. |-11 6| D. |-11 -6

A: Given matrices are 53-3-2   and  -43

Q: how to find p and p inverse for matrix A (-1 6; -2 6) and B (1 2; -1 4)

A: Note :- Due to so lengthy question i am solving P and inverse of P for matrix A. You can find both…

Q: Consider the matrix product: 2 3. -3 -1 -2 1 H = -2 -1 1 -3 2 -1 0 %3D 0 2 -1 -1 1 2

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.