Let A be a (12x12) matrix such that the dimension of its column space is 12. Then Select all possible answers. The determinant of Ais a non-zero number. |A-1 does not exist. Ais invertible. dim (rowspace (A)) = 12

Q: For which values of the constants b and c is the follow- ing matrix invertible? 1 b -1 -b

A: The given matrix is 01b-10c-b-c0

Q: Find the matrix A if 3 1 4 A = 11 00

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Q: Explain the fact” The determinant is zero when the matrix has no inverse”.

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Q: Example: f=(f¹, f²): R³ → R² (-6) T1I2X3 that is, f¹(x) = x₁²² and ƒ²(x) = 1₁T2Tz. Then the Jacobi…

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Q: Similar matrices have the same determinant.

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Q: Q2: Find the determinant of 3x3 Matrix. 5 7-8 4-36 1 7-9

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Q: Find the d. c. of T from definition.

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Q: 9. A = -2 2

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Q: let Q(x)= x12 -8x1x2 -5x22 , then matrix A of the quadratic from is A=?

A: Explanation is given below..

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A: for given three matrices with same dimension  and  is invertible,Again as matrix multiplication is…

Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: (b) Table Q4(b) is generated from the function ƒ(x)= e* - 4x² + B , where B is the last two digits…

A: Given: fx=ex-4x2+B To find: f'1.5

Q: Determine the value of x so that the matrix is singular (does not have an inverse) Which is the…

A: Note that, the matrix is said to be singular if the determinant of the matrix is 0.

Q: What is the determinant of -2 ? -4

A: Given,         A= 1-23-4

Q: Use a software program -8x1 7x2 12x1 + 3x2 15x₁ - 9x2 + + (X1, X2, X3) = 1 or a graphing utility…

A: Given: The system of linear equations are: -8x1+7x2-10x3=-14212x1+3x2-5x3=-2115x1-9x2+2x3=99…

Q: Determine the real number values of the constant a with which the matrix A= (14 a1)  is positive…

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Q: If some row of a square matrix consists only of zeroentries, then the determinant of the matrix…

A: 1. the determinant of a square matrix with a row with all zero entries is zero. By definition the…

Q: 2. Let A be an (m x n)-matrix and B an (n xt)-matrix over R. (a) Show that row(AB) Crow (B).…

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Q: Consider the matrix: 1 2 -2 0 -1 3 4 1-1, Perform R3 - 2R2: 1 2 0 0 3 2 4 3

A: Given query is to perform the indicated matrix operation.

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

A: Topic:- matrix addition

Q: Solve the matrix by using Cramer's Rule method 2x+5y+2z=10 3x+8y+z=3 2y+5z=1

A: To solve the matrix by using cramers rule method.