FP1.5 - Matrix algebra

Addition and subtraction of matrices.

Use fp1.5.1 - addition and subtraction of matrices to connect the rule to the data and decision in the question.

This matters because fp1.5.1 - addition and subtraction of matrices determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp1.5.1 - addition and subtraction of matrices to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP1.5.1 - Addition and subtraction of matrices is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Multiplication of a matrix by a scalar.

Use fp1.5.2 - multiplication of a matrix by a scalar to connect the rule to the data and decision in the question.

This matters because fp1.5.2 - multiplication of a matrix by a scalar determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp1.5.2 - multiplication of a matrix by a scalar to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP1.5.2 - Multiplication of a matrix by a scalar is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Products of matrices.

Use fp1.5.3 - products of matrices to connect the rule to the data and decision in the question.

This matters because fp1.5.3 - products of matrices determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp1.5.3 - products of matrices to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP1.5.3 - Products of matrices is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Evaluation of 2 × 2 determinants.; Singular and non-singular matrices.

Use fp1.5.4 - evaluation of 2 × 2 determinants to connect the rule to the data and decision in the question.

This matters because fp1.5.4 - evaluation of 2 × 2 determinants determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp1.5.4 - evaluation of 2 × 2 determinants to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP1.5.4 - Evaluation of 2 × 2 determinants is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Inverse of 2 × 2 matrices.; Use of the relation (AB)–1 = B–1A–1.

Use fp1.5.5 - inverse of 2 × 2 matrices to connect the rule to the data and decision in the question.

This matters because fp1.5.5 - inverse of 2 × 2 matrices determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp1.5.5 - inverse of 2 × 2 matrices to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP1.5.5 - Inverse of 2 × 2 matrices is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.