A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A + B + D = I. D =

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

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Q: 2x+y=30 x+4z=20 2z+y=10

A: Given equations are: 2x+y=30 x+4z=20 2z+y=10 Then we get, y=30-2x So we have, 2z+30-2x=10…

Q: -1 2 4, 3 A = -1 2

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Q: The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 2. For matrices To and 3 show that A³+ B = I, -20 B= 8 where I is the 2 x 2 identity matrix.(4…

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Q: 3.2 Exercises PS2.9 Consider the matrices: A = (a) -2A (b) B-2A 0 -5 -1 -5 B-4 0-1 C= = Compute each…

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Q: a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 + x3 = -1 . (x1-2x2 -…

A: Dear student you have asked multiple questions. As per our policy your first question will be…

Q: Find the 3x3 matrix that induces the described action on R3. Rotates the xy plane by 30 degrees,…

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Q: X1 — 5х, + 2х; - 20 - —Зx1 + х2 — Хз %3D 8 — 2х2 + 5хз -16.

A: Given system of linear equation is x1−5x2+2x3=−20−3x1+x2−x3=8−2x2+5x3=−16..........1 Write the given…

Q: Consider the following system of linear equations for four real variables x1, x2, X3, X4: x2 + x3 –…

A: x2+x3-2x4=-3x1+2x2-x3=22x1+4x2+x3-3x4=-2x1-4x2-7x3-x4=-1011-212-10241-31-4-7-1x1x2x3x4=-32-2-19Let…

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: h) Suppose we have the system of 4x – 3y = 5 and 5x + 3y = 4. You found the inverse of matrix A…

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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: X1 + 2x2 + X3 3x1 – x2 + 2x3 = = 2 3 %3D X1 – 2x2 + X3

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Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

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Q: 10 Let A = -2 1 B (Enter a matrix like -3 -6 -87 Find the product of any two of the matrices. The…

A: The rule of order (or dimension) of matrices for matrix multiplication is as follows:For two…

Q: Find the 3x3 matrix that induces the described action on R3. Rotates the yz plane  by 45 degrees,…

A: We have to find 3×3 matrix that rotates the yz plane by 45 degrees and reflects the x-axis.

Q: -6x + 39y9z = -12 2x - 13y + 3z = 4

A: We have to determine the rank of the matrix.

Q: Write the system of equations as an augmented matrix b 4y + 3u - 18 -b + Ty 3u 30 5b 2u L Ay || - 16

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Q: Solve the system of equations {−9x+9y=360 {-5x-4y=-529 by converting to a matrix equation and using…

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Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 +…

A: The given system of linear equations is, 2x1-x4 = -15x1+x2 = 1x3 = 1-x1+4x3+x4 = 0 The objective is…

Q: Find the solution to the matrix system A2 = b where A = (3²) 72 2 = ( x ) 1=66) ĥ

A: To find the solution to the matrix system , where