8 (a) is given that where T is a 2 x2 matrix. Find T )-( ) - dnpan keadaan T ialah satu matriks 2 x 2. Diberi bahawu Cari T. (b) Write the following simultaneous linear equations as a matrix equation: Tulis persamaan linear serentak berikut dalam bentuk persamaan matriks: 6m+3n3 4m -2n =-10 Hence, using matrix method, calculate the values of m and n. Seterusnya, menggunakan kaedah matriks, hitung nilai m dan nilai n. (6 marks/6 markah)

Q: a) Prove the following: a+b a a a+b =b° (3a +b) a a a a+b

A: Since you have posted more than one question, we solve the first one for you. For the other…

Q: (а) 2x + 3y + z = -1 Зх + Зу + г 1 %3D 2х + 4y + 2 -2 %D

A:

Q: Solve for x, y, z, and w in the matrix equation

A: Given equation can be written as Since, the matrices are equal , so their corresponding elements…

Q: F) Create 3x5 matrix named MA and then eliminate all the rows of columns 2 through 4.

A: First we have to create a 3/5 matrix . Then we have to eliminate the second column using fourth…

Q: Find the determinant of the following matrix (CLO7) ^= [41] Select one: O a. -3 O b. 5 C. -7 O d. 7

A: Given: Matrix:A=[2,5−1,1​​] Calculate the determinant for the matrix. Let`s assume a value for each…

Q: The parabola y = a + bx + cx² goes through the points (x, y) = (1, 4) and (2,8) and (3, 14). Find…

A:

Q: The 3 × 3 matrix B satisfies the equation B^3 = −B. Show that B cannot have an inverse

A: We proved that, the matrix B cannot have an inverse if it satisfies the equation…

Q: 2 14 Wiite the and system below as Vertor euation. matrix Quatan +6z =0

A:

Q: Use a matrix to solve x - y + 5z = 194x + z = 3x + 3y + z = -9A) (3, 0, -4) B) (3, -4, 0) C) (0, -4,…

A:

Q: Use the definition of A to write the vector equation as an augmented matrix. 0 x₁ + x2 + x3 + X4 =

A:

Q: (v) 0 -1 0 1 0 0 ma ~ 0 ( 1 a -1 0 0 0 a 0 0 a 1 0 1 000

A: Given: A matrix .To find: The Row operations by which the matrix is reduced to

Q: Create a system of linear equations A = such that the matrix A is a 2x2 matrix with a determinant of…

A: Assume Its determinant Given determinant

Q: Find the average value of the function over the given solid. The average value of a continuous…

A:

Q: a) Write the augmented matrix for x + 2y3z = 9 2x - y + z = 0 (4x - 2y + 2z = 0 the row echelon form…

A:

Q: Write equations z + 2y + 3: = a, y – z - b, and 2y + 2: - c, as the matrix equation ()-) A and then:…

A:

Q: The symmetric matrix corresponding to the quadratic form X1 x2 = x} – 2x1x2 + 2x1x3 – 3x + 4x2x3 –…

A:

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A:

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

A:

Q: Use the of a the inverse Possible. w/or O matrix capabilities calculator to find the matrix, of 2…

A: Find the inverse of the given matrix.

Q: Use the following simultaneous equations to answer questions 8 and 9: -X1 + 2X2 + 4Хз %3D -3 4X1 –…

A:

Q: Prove or disprove: If the columns of a square n ×n matrix M are linearly independent, so are the…

A: Linearly independent and dependent vectors

Q: The equation A² - 2A + I = O implies that ---Select--- Need Help? Read It ✓. It follows that…

A:

Q: a) A = (1 - 2), B= b) A = B = (3 -7) 2 2 8 A = B = о 11 c)

A:

Q: Write down the 3 x 3 matrix that rotates a 2D point by angle about a point 0 p = (xp, yp).

A: Consider point .To write the  matrix that rotates a  point by angle  about a point .

Q: If a 6 x 6 matrix contains 19 zeros, show that there are 4 zeros which are all in distinct rows and…

A: A 6x6 matrix has 36 entries. Given if a 6x6 matrix contains 19 zeros, then to show that there are 4…