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9th Grade Math Division-wise Quiz

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Questions and Answers

Which one of these is the correct definition of a diagonal matrix?

A matrix with elements that are all zeros except for the elements on the secondary diagonal

A matrix with elements that are all zeros except for the elements on the main diagonal and the elements below it

A matrix with elements that are all zeros except for the elements on the main diagonal (correct)

A matrix with elements that are all zeros except for the elements on both the main and secondary diagonals

Which one of these is the correct formula for finding the product of two matrices, A and B?

AB = BA

AB = B - A

AB = A * B (correct)

AB = A + B

Which one of these is the correct formula for finding the determinant of a 2x2 matrix?

det(A) = a11 * a22 - a12 * a21 (correct)

det(A) = a11 + a12 - a21 - a22

det(A) = a11 * a21 - a12 * a22

det(A) = a11 + a22 - a12 - a21

Which one of these is the correct formula for finding the adjoint of a matrix?

<p>adj(A) = cofactor(A)</p> Signup and view all the answers

Which one of these is the correct formula for finding the additive inverse of a matrix A?

<p>-A</p> Signup and view all the answers

Study Notes

Matrices Formulas and Definitions

A diagonal matrix is a square matrix where all non-zero elements are on the main diagonal and the rest are zero.
The product of two matrices A and B is found using the formula: AB = [aij][bij] = [∑(aij*bij)].
The determinant of a 2x2 matrix is found using the formula: det(A) = ad - bc, where A = [a, b; c, d].
The adjoint of a matrix A is found using the formula: adj(A) = transpose of cofactor matrix of A.
The additive inverse of a matrix A is found using the formula: -A = [-aij], which is obtained by changing the sign of each element of A.

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Description

Test your knowledge of 9th grade mathematics with this division-wise quiz. Circle the correct option for various questions including matrix types, product and adjoint, identity matrix, and more. Put your math skills to the test and see how well you perform on this comprehensive test.